Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425z |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1710720 |
Modular degree for the optimal curve |
Δ |
2.1530088780127E+19 |
Discriminant |
Eigenvalues |
-2 -1 5+ 0 11- 4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2318158,1340813968] |
[a1,a2,a3,a4,a6] |
Generators |
[962:312:1] |
Generators of the group modulo torsion |
j |
3399430144/53125 |
j-invariant |
L |
2.4937090171359 |
L(r)(E,1)/r! |
Ω |
0.21547317848408 |
Real period |
R |
2.8932939990743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10285f1 51425j1 |
Quadratic twists by: 5 -11 |