Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038x |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
47978203392 = 28 · 33 · 76 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-965,4925] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:100:1] |
Generators of the group modulo torsion |
j |
31255875/15104 |
j-invariant |
L |
9.316891009775 |
L(r)(E,1)/r! |
Ω |
1.0064896653976 |
Real period |
R |
0.57855108515139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52038a1 1062g1 |
Quadratic twists by: -3 -7 |