Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
76956c |
Isogeny class |
Conductor |
76956 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-7882482720816 = -1 · 24 · 32 · 117 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5969,221076] |
[a1,a2,a3,a4,a6] |
Generators |
[1360:50094:1] |
Generators of the group modulo torsion |
j |
-829898752/278091 |
j-invariant |
L |
5.977927170706 |
L(r)(E,1)/r! |
Ω |
0.69783363590625 |
Real period |
R |
4.2832036624087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6996a1 |
Quadratic twists by: -11 |