Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5952m |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
1446336 = 26 · 36 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32,30] |
[a1,a2,a3,a4,a6] |
j |
58411072/22599 |
j-invariant |
L |
3.679392354198 |
L(r)(E,1)/r! |
Ω |
2.452928236132 |
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 |
5952h1 2976d2 17856s1 |
Quadratic twists by: -4 8 -3 |