Atkin-Lehner |
2- 3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520bz |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-4.9931342020591E+38 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3946699476920,-3203637518475431568] |
[a1,a2,a3,a4,a6] |
Generators |
[4113209758256078853972349631147562528457096940148036:5480285356094140598468638604395271318814730147969597440:1254958070836331911209216460703382126210658399] |
Generators of the group modulo torsion |
j |
-1659838900070008272993828621295780801081/121902690479959282132916661701836800 |
j-invariant |
L |
5.8901442780608 |
L(r)(E,1)/r! |
Ω |
0.0016864774082733 |
Real period |
R |
72.761922883928 |
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 |
9690m2 |
Quadratic twists by: -4 |