Atkin-Lehner |
2+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256m |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
175194112 = 214 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ -1 -2 -1 1 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-629,6253] |
[a1,a2,a3,a4,a6] |
Generators |
[12:17:1] |
Generators of the group modulo torsion |
j |
1682464768/10693 |
j-invariant |
L |
3.6560984144107 |
L(r)(E,1)/r! |
Ω |
1.8153025032013 |
Real period |
R |
1.0070218070992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256z1 2516a1 |
Quadratic twists by: -4 8 |