Atkin-Lehner |
2- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
78802b |
Isogeny class |
Conductor |
78802 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-1.9398112552667E+20 |
Discriminant |
Eigenvalues |
2- -2 2 0 -6 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,387263,663678345] |
[a1,a2,a3,a4,a6] |
Generators |
[-478:19459:1] |
Generators of the group modulo torsion |
j |
7237215346607/218569375744 |
j-invariant |
L |
6.7705419871809 |
L(r)(E,1)/r! |
Ω |
0.13483956776232 |
Real period |
R |
1.1411780440734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2542a1 |
Quadratic twists by: -31 |