Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672s |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
534528 |
Modular degree for the optimal curve |
Δ |
-2489265656371648 = -1 · 26 · 73 · 118 · 232 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 11+ 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-111790,14548104] |
[a1,a2,a3,a4,a6] |
Generators |
[188:460:1] |
Generators of the group modulo torsion |
j |
-2414106867537267904/38894775880807 |
j-invariant |
L |
2.8218010010048 |
L(r)(E,1)/r! |
Ω |
0.4586491774335 |
Real period |
R |
3.076208505199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672bd1 113344do2 |
Quadratic twists by: -4 8 |