Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648w |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33868800 |
Modular degree for the optimal curve |
Δ |
2.0413221516642E+26 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1788896632,29114803265692] |
[a1,a2,a3,a4,a6] |
Generators |
[463721005414638538917145948878:30675876017366573476425156950432:23807619411744816065642561] |
Generators of the group modulo torsion |
j |
13141891860831409148932/4237307541832617 |
j-invariant |
L |
4.9229851027436 |
L(r)(E,1)/r! |
Ω |
0.055225556354378 |
Real period |
R |
44.571620710828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296bn1 3192g1 |
Quadratic twists by: -4 -19 |