Atkin-Lehner |
2+ 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802h |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
775217325463056 = 24 · 39 · 79 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-574926,167928452] |
[a1,a2,a3,a4,a6] |
Generators |
[-239:17197:1] |
Generators of the group modulo torsion |
j |
9075706699779/334768 |
j-invariant |
L |
4.7629707564936 |
L(r)(E,1)/r! |
Ω |
0.47228562388706 |
Real period |
R |
5.0424684931883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53802bp1 7686a1 |
Quadratic twists by: -3 -7 |