Atkin-Lehner |
2+ 3- 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
110550n |
Isogeny class |
Conductor |
110550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
211366611984000000 = 210 · 3 · 56 · 114 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-437676,109195498] |
[a1,a2,a3,a4,a6] |
Generators |
[292:2366:1] |
Generators of the group modulo torsion |
j |
593417647832152753/13527463166976 |
j-invariant |
L |
5.6124907714341 |
L(r)(E,1)/r! |
Ω |
0.31569580810505 |
Real period |
R |
1.4815133838584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422j1 |
Quadratic twists by: 5 |