Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800dr |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
3206250000 = 24 · 33 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-458,2463] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:75:1] |
Generators of the group modulo torsion |
j |
1703680/513 |
j-invariant |
L |
6.8336585757929 |
L(r)(E,1)/r! |
Ω |
1.3144465331374 |
Real period |
R |
0.57765407581698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5700h1 91200gs1 68400gj1 22800cc1 |
Quadratic twists by: -4 8 -3 5 |