Atkin-Lehner |
2+ 3- 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862z |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
760668259405824 = 212 · 36 · 7 · 112 · 673 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23616,442368] |
[a1,a2,a3,a4,a6] |
Generators |
[832:23168:1] |
Generators of the group modulo torsion |
j |
1998138318898177/1043440685056 |
j-invariant |
L |
3.7894370668728 |
L(r)(E,1)/r! |
Ω |
0.44413080965299 |
Real period |
R |
0.71102120380553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999782389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318i1 |
Quadratic twists by: -3 |