Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038bq |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
2186006892048 = 24 · 39 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15224,-715669] |
[a1,a2,a3,a4,a6] |
Generators |
[-586:681:8] |
Generators of the group modulo torsion |
j |
4549540393/25488 |
j-invariant |
L |
10.917251210688 |
L(r)(E,1)/r! |
Ω |
0.42994815885554 |
Real period |
R |
3.1740021982365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346m1 1062h1 |
Quadratic twists by: -3 -7 |