Atkin-Lehner |
2+ 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63650a |
Isogeny class |
Conductor |
63650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-96748000000000 = -1 · 211 · 59 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 -5 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11875,682125] |
[a1,a2,a3,a4,a6] |
Generators |
[15:705:1] |
Generators of the group modulo torsion |
j |
-11853911588401/6191872000 |
j-invariant |
L |
7.7713116493259 |
L(r)(E,1)/r! |
Ω |
0.55822655825434 |
Real period |
R |
1.7401786815267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12730f1 |
Quadratic twists by: 5 |