Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40898cc |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
4253392 = 24 · 112 · 133 |
Discriminant |
Eigenvalues |
2- -3 0 -4 11- 13- 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45,69] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [-3:14:1] |
Generators of the group modulo torsion |
j |
37125/16 |
j-invariant |
L |
7.8125229185049 |
L(r)(E,1)/r! |
Ω |
2.2197414854734 |
Real period |
R |
0.43994553924603 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40898ba1 40898z1 |
Quadratic twists by: -11 13 |