Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ep |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
205200000000 = 210 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1833,-21537] |
[a1,a2,a3,a4,a6] |
j |
1703680/513 |
j-invariant |
L |
2.2398461533795 |
L(r)(E,1)/r! |
Ω |
0.74661535310974 |
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 |
91200gs1 5700h1 91200ba1 |
Quadratic twists by: -4 8 5 |