Atkin-Lehner |
7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
35287a |
Isogeny class |
Conductor |
35287 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-152861684502077537 = -1 · 75 · 717 |
Discriminant |
Eigenvalues |
1 -1 0 7+ -1 3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,123400,8738629] |
[a1,a2,a3,a4,a6] |
j |
1622234375/1193297 |
j-invariant |
L |
0.82806729525847 |
L(r)(E,1)/r! |
Ω |
0.20701682381945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
497a1 |
Quadratic twists by: -71 |