Atkin-Lehner |
2+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
50024a |
Isogeny class |
Conductor |
50024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
45719534848 = 28 · 136 · 37 |
Discriminant |
Eigenvalues |
2+ -1 0 3 3 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5633,164293] |
[a1,a2,a3,a4,a6] |
Generators |
[9:338:1] |
Generators of the group modulo torsion |
j |
16000000/37 |
j-invariant |
L |
5.6308347148515 |
L(r)(E,1)/r! |
Ω |
1.1381811214882 |
Real period |
R |
0.61840275336447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100048b1 296b1 |
Quadratic twists by: -4 13 |