Atkin-Lehner |
7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
42581c |
Isogeny class |
Conductor |
42581 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28080 |
Modular degree for the optimal curve |
Δ |
1124606791 = 76 · 112 · 79 |
Discriminant |
Eigenvalues |
1 -1 -1 7- 11+ -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6738,-215711] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:25:1] [112:615:1] |
Generators of the group modulo torsion |
j |
287626699801/9559 |
j-invariant |
L |
8.269230097859 |
L(r)(E,1)/r! |
Ω |
0.52693770650875 |
Real period |
R |
7.8464968398711 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
869a1 |
Quadratic twists by: -7 |