Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296bn |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
67737600 |
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] |
j |
13141891860831409148932/4237307541832617 |
j-invariant |
L |
6.500093686165 |
L(r)(E,1)/r! |
Ω |
0.023214623601934 |
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 |
60648w1 6384d1 |
Quadratic twists by: -4 -19 |