Atkin-Lehner |
2- 5- 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550cd |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
18825664000 = 29 · 53 · 113 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11- 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-748,3981] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:117:1] |
Generators of the group modulo torsion |
j |
370300910741/150605312 |
j-invariant |
L |
7.010068015784 |
L(r)(E,1)/r! |
Ω |
1.108920391557 |
Real period |
R |
0.11706527748902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550y1 |
Quadratic twists by: 5 |