Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8700f |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-21750000 = -1 · 24 · 3 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 1 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58,-263] |
[a1,a2,a3,a4,a6] |
Generators |
[12:25:1] |
Generators of the group modulo torsion |
j |
-87808/87 |
j-invariant |
L |
3.6847835342978 |
L(r)(E,1)/r! |
Ω |
0.83047332970351 |
Real period |
R |
0.73949465573914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800df1 26100m1 348b1 |
Quadratic twists by: -4 -3 5 |