Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440i |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-17622426633477120 = -1 · 210 · 38 · 5 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66656,9223740] |
[a1,a2,a3,a4,a6] |
Generators |
[-11740:249885:64] |
Generators of the group modulo torsion |
j |
-792621148/426465 |
j-invariant |
L |
4.7626320816599 |
L(r)(E,1)/r! |
Ω |
0.36142575919076 |
Real period |
R |
6.5886727217381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76440be1 |
Quadratic twists by: -7 |