Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bo |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
3153185280000 = 212 · 33 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107136,-13532940] |
[a1,a2,a3,a4,a6] |
j |
33202753467020929/769820625 |
j-invariant |
L |
3.1666291856199 |
L(r)(E,1)/r! |
Ω |
0.26388576546846 |
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 |
1995a1 127680eh1 95760es1 |
Quadratic twists by: -4 8 -3 |