Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992eo |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-30371112124416 = -1 · 215 · 39 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7764,-31120] |
[a1,a2,a3,a4,a6] |
Generators |
[148:2088:1] |
Generators of the group modulo torsion |
j |
2166720184/1271403 |
j-invariant |
L |
5.4566072378502 |
L(r)(E,1)/r! |
Ω |
0.38852669549717 |
Real period |
R |
3.5110890828723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997837339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992gw2 62496bg2 41664cf2 |
Quadratic twists by: -4 8 -3 |