Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440cb |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
2014664400 = 24 · 37 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318,317] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:45:1] |
Generators of the group modulo torsion |
j |
304900096/172725 |
j-invariant |
L |
6.8206141725441 |
L(r)(E,1)/r! |
Ω |
1.2676504695467 |
Real period |
R |
0.67256456091518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998841564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480h1 |
Quadratic twists by: -3 |