Atkin-Lehner |
2- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119600cp |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
25871872000 = 212 · 53 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -6 13- 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-928,7348] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:130:1] |
Generators of the group modulo torsion |
j |
172808693/50531 |
j-invariant |
L |
5.953722798294 |
L(r)(E,1)/r! |
Ω |
1.1065170352288 |
Real period |
R |
0.44838312575616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7475h1 119600by1 |
Quadratic twists by: -4 5 |