Atkin-Lehner |
2+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600o |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-4762880000000000 = -1 · 217 · 510 · 612 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 3 6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,39167,-1470463] |
[a1,a2,a3,a4,a6] |
j |
5191150/3721 |
j-invariant |
L |
1.951705643774 |
L(r)(E,1)/r! |
Ω |
0.24396317875094 |
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 |
97600cf1 12200j1 97600bg1 |
Quadratic twists by: -4 8 5 |