Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640cg |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
895631360 = 214 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-241,15] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:29:1] |
Generators of the group modulo torsion |
j |
94875856/54665 |
j-invariant |
L |
3.7251085039667 |
L(r)(E,1)/r! |
Ω |
1.3425359656101 |
Real period |
R |
1.387340342644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997070796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640l1 30160f1 |
Quadratic twists by: -4 8 |