Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200bf |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
125005275000000 = 26 · 36 · 58 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-227508,-41688738] |
[a1,a2,a3,a4,a6] |
j |
1302313788921664/125005275 |
j-invariant |
L |
1.3116076894932 |
L(r)(E,1)/r! |
Ω |
0.21860129419693 |
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 |
91200ct1 45600o2 18240bo1 |
Quadratic twists by: -4 8 5 |