Atkin-Lehner |
2+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76664c |
Isogeny class |
Conductor |
76664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3348864 |
Modular degree for the optimal curve |
Δ |
101890003999340368 = 24 · 72 · 379 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ -4 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23111458,-42765061575] |
[a1,a2,a3,a4,a6] |
Generators |
[-32991560285497869778716312033143219138680:122485516635217043373658822949553411321:11883969520433189152529237695291376125] |
Generators of the group modulo torsion |
j |
33256413948450816/2481997 |
j-invariant |
L |
7.9237752929081 |
L(r)(E,1)/r! |
Ω |
0.068856147551486 |
Real period |
R |
57.538619097032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2072e1 |
Quadratic twists by: 37 |