Atkin-Lehner |
2- 5+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350r |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-74151667616000000 = -1 · 211 · 56 · 135 · 792 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 0 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-68413,-14807183] |
[a1,a2,a3,a4,a6] |
Generators |
[918:25927:1] |
Generators of the group modulo torsion |
j |
-2266313514323977/4745706727424 |
j-invariant |
L |
11.213613198298 |
L(r)(E,1)/r! |
Ω |
0.13844632470762 |
Real period |
R |
3.6816411840999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2054c1 |
Quadratic twists by: 5 |