Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
52038o |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
7.9251244778441E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118145673,-492393282291] |
[a1,a2,a3,a4,a6] |
Generators |
[9968635948304760774:1040843044724220502045:532445465175651] |
Generators of the group modulo torsion |
j |
2126480513962938771457/9240390477545472 |
j-invariant |
L |
4.3950669179619 |
L(r)(E,1)/r! |
Ω |
0.045804552326618 |
Real period |
R |
23.988155623547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17346be1 7434e1 |
Quadratic twists by: -3 -7 |