Atkin-Lehner |
2+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
55550a |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11376 |
Modular degree for the optimal curve |
Δ |
6721550 = 2 · 52 · 113 · 101 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-92,-294] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:47:8] |
Generators of the group modulo torsion |
j |
3465770625/268862 |
j-invariant |
L |
5.0376333437994 |
L(r)(E,1)/r! |
Ω |
1.5483185206646 |
Real period |
R |
3.2536156330236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000129 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55550t1 |
Quadratic twists by: 5 |