Atkin-Lehner |
2+ 3- 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bj |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
276394207488 = 28 · 3 · 77 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9630,-363632] |
[a1,a2,a3,a4,a6] |
Generators |
[57992:-6467:512] |
Generators of the group modulo torsion |
j |
839362385737/2349312 |
j-invariant |
L |
7.0844658197899 |
L(r)(E,1)/r! |
Ω |
0.48202709230113 |
Real period |
R |
7.3486179294462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999348773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18354e1 |
Quadratic twists by: -7 |