Atkin-Lehner |
2+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662d |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-32353936384 = -1 · 210 · 72 · 112 · 732 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ 11- 1 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-156,-8752] |
[a1,a2,a3,a4,a6] |
j |
-3504731857/267387904 |
j-invariant |
L |
4.1245780879953 |
L(r)(E,1)/r! |
Ω |
0.51557244162122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662bj1 |
Quadratic twists by: -11 |