Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63426b |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
595200 |
Modular degree for the optimal curve |
Δ |
-21615670452904704 = -1 · 28 · 32 · 11 · 318 |
Discriminant |
Eigenvalues |
2+ 3+ 3 0 11+ 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63926,9393492] |
[a1,a2,a3,a4,a6] |
Generators |
[188:1922:1] |
Generators of the group modulo torsion |
j |
-33874537/25344 |
j-invariant |
L |
5.2608565799827 |
L(r)(E,1)/r! |
Ω |
0.35146080999547 |
Real period |
R |
3.7421359868597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63426r1 |
Quadratic twists by: -31 |