Atkin-Lehner |
3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
52185n |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2557440 |
Modular degree for the optimal curve |
Δ |
-12793056861367125 = -1 · 36 · 53 · 711 · 71 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -5 0 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38383098,-91532077619] |
[a1,a2,a3,a4,a6] |
Generators |
[7165:32432:1] |
Generators of the group modulo torsion |
j |
-53156396270339108473609/108739189125 |
j-invariant |
L |
8.3645141540675 |
L(r)(E,1)/r! |
Ω |
0.030327356335852 |
Real period |
R |
3.8306605563596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7455a1 |
Quadratic twists by: -7 |