Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
52038c |
Isogeny class |
Conductor |
52038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-937036226290159296 = -1 · 26 · 316 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 2 -4 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-593154,182044372] |
[a1,a2,a3,a4,a6] |
Generators |
[503:3029:1] |
Generators of the group modulo torsion |
j |
-5491799407969/222969024 |
j-invariant |
L |
5.0511127279523 |
L(r)(E,1)/r! |
Ω |
0.27700325645062 |
Real period |
R |
2.2793562035251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17346s1 52038l1 |
Quadratic twists by: -3 -7 |