Atkin-Lehner |
3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
8715k |
Isogeny class |
Conductor |
8715 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
305025 = 3 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-253,1523] |
[a1,a2,a3,a4,a6] |
j |
1780800847561/305025 |
j-invariant |
L |
2.9696956512603 |
L(r)(E,1)/r! |
Ω |
2.9696956512603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26145g1 43575e1 61005c1 |
Quadratic twists by: -3 5 -7 |