Atkin-Lehner |
3- 11- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
91377g |
Isogeny class |
Conductor |
91377 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
45312 |
Modular degree for the optimal curve |
Δ |
-3752579259 = -1 · 37 · 11 · 133 · 71 |
Discriminant |
Eigenvalues |
1 3- 3 -2 11- 13- -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,297,-2268] |
[a1,a2,a3,a4,a6] |
Generators |
[12:48:1] |
Generators of the group modulo torsion |
j |
3966822287/5147571 |
j-invariant |
L |
9.4347554629736 |
L(r)(E,1)/r! |
Ω |
0.7469058822701 |
Real period |
R |
2.1052977121542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30459c1 |
Quadratic twists by: -3 |