Atkin-Lehner |
3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025bf |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
13391103515625 = 38 · 510 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10692,390091] |
[a1,a2,a3,a4,a6] |
j |
11867954041/1175625 |
j-invariant |
L |
1.3747853151224 |
L(r)(E,1)/r! |
Ω |
0.68739265773696 |
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 |
15675e1 9405j1 |
Quadratic twists by: -3 5 |