Atkin-Lehner |
2+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
123704a |
Isogeny class |
Conductor |
123704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1201152 |
Modular degree for the optimal curve |
Δ |
3631474527478784 = 210 · 7 · 477 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 6 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248144,47572124] |
[a1,a2,a3,a4,a6] |
j |
153091012/329 |
j-invariant |
L |
3.9986703557732 |
L(r)(E,1)/r! |
Ω |
0.4442966639689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2632a1 |
Quadratic twists by: -47 |