Atkin-Lehner |
2+ 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350bd |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-45176484375000 = -1 · 23 · 34 · 510 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11576,-579202] |
[a1,a2,a3,a4,a6] |
j |
-17564884225/4626072 |
j-invariant |
L |
1.8160737499309 |
L(r)(E,1)/r! |
Ω |
0.22700922388388 |
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 |
97350cg1 |
Quadratic twists by: 5 |