Atkin-Lehner |
2- 3- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
32430bh |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-70924410 = -1 · 2 · 38 · 5 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 3 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,40,-390] |
[a1,a2,a3,a4,a6] |
j |
7066834559/70924410 |
j-invariant |
L |
7.6854612642244 |
L(r)(E,1)/r! |
Ω |
0.96068265802799 |
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 |
97290e1 |
Quadratic twists by: -3 |