Atkin-Lehner |
2- 3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
56760s |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
15325200 = 24 · 34 · 52 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ -4 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76,149] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:3:1] [-1:15:1] |
Generators of the group modulo torsion |
j |
3074301184/957825 |
j-invariant |
L |
10.60355466295 |
L(r)(E,1)/r! |
Ω |
2.0473113236708 |
Real period |
R |
0.32370365892675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113520d1 |
Quadratic twists by: -4 |