Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800dg |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
4061250000 = 24 · 32 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,3438] |
[a1,a2,a3,a4,a6] |
j |
67108864/16245 |
j-invariant |
L |
2.6096267220704 |
L(r)(E,1)/r! |
Ω |
1.3048133610352 |
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 |
5700b1 91200ff1 68400fj1 4560p1 |
Quadratic twists by: -4 8 -3 5 |