Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51156g |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
23552427024 = 24 · 36 · 74 · 292 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 1 2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1029,-10339] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:29:1] |
Generators of the group modulo torsion |
j |
4302592/841 |
j-invariant |
L |
5.5942148738396 |
L(r)(E,1)/r! |
Ω |
0.85441877175663 |
Real period |
R |
1.0912320473999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5684b1 51156s1 |
Quadratic twists by: -3 -7 |