Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672k |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
106206048256 = 212 · 7 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 11+ -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4401,-109823] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:4:1] |
Generators of the group modulo torsion |
j |
2302059513664/25929211 |
j-invariant |
L |
3.0534344725624 |
L(r)(E,1)/r! |
Ω |
0.58654198539465 |
Real period |
R |
2.6029121091149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56672t1 113344by1 |
Quadratic twists by: -4 8 |