Atkin-Lehner |
2- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
31600m |
Isogeny class |
Conductor |
31600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1039680 |
Modular degree for the optimal curve |
Δ |
-1.3088325632E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 1 -2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10985208,14021093588] |
[a1,a2,a3,a4,a6] |
Generators |
[-72222:4206592:27] |
Generators of the group modulo torsion |
j |
-3665123505412225/3272081408 |
j-invariant |
L |
5.6355151590537 |
L(r)(E,1)/r! |
Ω |
0.18383716882337 |
Real period |
R |
3.8318659898345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3950b1 126400ce1 31600y1 |
Quadratic twists by: -4 8 5 |