Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654bu |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-39406101412700988 = -1 · 22 · 310 · 72 · 237 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,83218,-2437095] |
[a1,a2,a3,a4,a6] |
j |
590589719/365148 |
j-invariant |
L |
3.3594845260702 |
L(r)(E,1)/r! |
Ω |
0.20996778349814 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22218f1 2898s1 |
Quadratic twists by: -3 -23 |