Atkin-Lehner |
2+ 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42952d |
Isogeny class |
Conductor |
42952 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
4209296 = 24 · 73 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 2 3 7- 1 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124,-483] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:3:1] |
Generators of the group modulo torsion |
j |
13285149952/263081 |
j-invariant |
L |
11.098460567513 |
L(r)(E,1)/r! |
Ω |
1.4314469708767 |
Real period |
R |
1.2922193176224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904f1 |
Quadratic twists by: -4 |