Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
66270p |
Isogeny class |
Conductor |
66270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5.1627761958004E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65392187626,-6436336642975927] |
[a1,a2,a3,a4,a6] |
Generators |
[454602831472026241934314720459488857037788003685926812762669964104578344771953669959544006666172144378779867381372167945991950725490800618557295075387605091728239736982046416256487742929393699646053749918541466056571047943816590795906488466:-430207430626680682278872932414653681758538303405105814912395385051006461799779513132957710225636221320115429485194510196031757382119798425849013413511561277784988299515347612348441687023175765853885966727285709231595024914624362668947015224881:469170887904472226050980174507736847264660062192779555685828720519015992037649681149204504374623594282812253878124252406808552441215813301170098172056954877239145574391768760129701573998150286361320369608993721365165788515879261366296] |
Generators of the group modulo torsion |
j |
27632526176252046076847/46132031250 |
j-invariant |
L |
6.9751191713773 |
L(r)(E,1)/r! |
Ω |
0.0094410019667549 |
Real period |
R |
369.40566244659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66270v2 |
Quadratic twists by: -47 |