Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700v |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
653184 |
Modular degree for the optimal curve |
Δ |
11934579270250000 = 24 · 56 · 710 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-860358,-307403587] |
[a1,a2,a3,a4,a6] |
j |
997335808/169 |
j-invariant |
L |
2.8216726819814 |
L(r)(E,1)/r! |
Ω |
0.15675959337169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2548f1 63700c1 |
Quadratic twists by: 5 -7 |