Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086l |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-1123174958467464 = -1 · 23 · 36 · 7 · 317 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 4 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20443533,-35572931443] |
[a1,a2,a3,a4,a6] |
Generators |
[62766743941370000238789118919519:6546290508392754589393998340980720:4904603237366850144249266347] |
Generators of the group modulo torsion |
j |
-1460474194254993/1736 |
j-invariant |
L |
6.79569861426 |
L(r)(E,1)/r! |
Ω |
0.035500181224006 |
Real period |
R |
47.856788190596 |
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 |
13454f1 3906e1 |
Quadratic twists by: -3 -31 |