Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
53016j |
Isogeny class |
Conductor |
53016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
6.9618868470777E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 -1 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2176601,1169710989] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:37606:1] |
Generators of the group modulo torsion |
j |
413269421056/25228989 |
j-invariant |
L |
5.093240309242 |
L(r)(E,1)/r! |
Ω |
0.19175811732905 |
Real period |
R |
6.6401886660321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106032l1 1128b1 |
Quadratic twists by: -4 -47 |