Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
9184c |
Isogeny class |
Conductor |
9184 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
5824 |
Modular degree for the optimal curve |
Δ |
17287814656 = 29 · 77 · 41 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 0 -6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-656,-1148] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:14:1] [-3:28:1] |
Generators of the group modulo torsion |
j |
61069889672/33765263 |
j-invariant |
L |
4.8377532061606 |
L(r)(E,1)/r! |
Ω |
1.0100259081376 |
Real period |
R |
0.34212369965566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9184a1 18368m1 82656p1 64288m1 |
Quadratic twists by: -4 8 -3 -7 |