Atkin-Lehner |
2+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672d |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
355446784 = 212 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 11- -7 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,-1009] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:16:1] [-5:4:1] |
Generators of the group modulo torsion |
j |
308915776/86779 |
j-invariant |
L |
11.439053900374 |
L(r)(E,1)/r! |
Ω |
1.2584470323151 |
Real period |
R |
2.2724543835848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56672j1 113344ck1 |
Quadratic twists by: -4 8 |