Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127072d |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
4828736 = 26 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ -2 2 -2 11+ -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82,240] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:20:1] |
Generators of the group modulo torsion |
j |
140608/11 |
j-invariant |
L |
4.6986227837891 |
L(r)(E,1)/r! |
Ω |
2.3814800346432 |
Real period |
R |
1.9729843791228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997366146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127072v1 127072n1 |
Quadratic twists by: -4 -19 |