Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6624i |
Isogeny class |
Conductor |
6624 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-2715117171645888 = -1 · 26 · 320 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23379,2095684] |
[a1,a2,a3,a4,a6] |
j |
30289632400448/58194383823 |
j-invariant |
L |
1.8791556440909 |
L(r)(E,1)/r! |
Ω |
0.31319260734848 |
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 |
6624b1 13248s1 2208d1 |
Quadratic twists by: -4 8 -3 |