Atkin-Lehner |
2+ 3+ 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430c |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
887808 |
Modular degree for the optimal curve |
Δ |
-7784682770084659200 = -1 · 234 · 36 · 52 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1166698,-503768492] |
[a1,a2,a3,a4,a6] |
j |
-175630385224760862558889/7784682770084659200 |
j-invariant |
L |
1.1591135890637 |
L(r)(E,1)/r! |
Ω |
0.072444599316494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290bl1 |
Quadratic twists by: -3 |