Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400hw |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-1562953218750000 = -1 · 24 · 310 · 59 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25167,1129338] |
[a1,a2,a3,a4,a6] |
j |
56409309184/50014503 |
j-invariant |
L |
3.0995142140806 |
L(r)(E,1)/r! |
Ω |
0.3099514306084 |
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 |
23100q1 92400fo1 |
Quadratic twists by: -4 5 |