Atkin-Lehner |
2+ 3- 7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
116298s |
Isogeny class |
Conductor |
116298 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
6840000 |
Modular degree for the optimal curve |
Δ |
-7.5145178830419E+20 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 3 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1619415,-1054111667] |
[a1,a2,a3,a4,a6] |
j |
644273852242214179439/1030798063517401088 |
j-invariant |
L |
4.2176537579483 |
L(r)(E,1)/r! |
Ω |
0.084353088928437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12922f1 |
Quadratic twists by: -3 |