Atkin-Lehner |
2- 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850cp |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
56845800000000000 = 212 · 34 · 511 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5716063,5259606617] |
[a1,a2,a3,a4,a6] |
j |
1321888155259247905321/3638131200000 |
j-invariant |
L |
7.3512671565438 |
L(r)(E,1)/r! |
Ω |
0.30630279818693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9570d1 |
Quadratic twists by: 5 |