Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426bg |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
36476443889276688 = 24 · 35 · 11 · 318 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-93237,5962257] |
[a1,a2,a3,a4,a6] |
Generators |
[-292:3029:1] |
Generators of the group modulo torsion |
j |
100999381393/41100048 |
j-invariant |
L |
14.603738271349 |
L(r)(E,1)/r! |
Ω |
0.33184860888367 |
Real period |
R |
2.20036153237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046f1 |
Quadratic twists by: -31 |