Atkin-Lehner |
2- 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
112880g |
Isogeny class |
Conductor |
112880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
1199237120000 = 214 · 54 · 17 · 832 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2656,0] |
[a1,a2,a3,a4,a6] |
Generators |
[288:4800:1] |
Generators of the group modulo torsion |
j |
506071034209/292782500 |
j-invariant |
L |
6.9882092536639 |
L(r)(E,1)/r! |
Ω |
0.72886379276078 |
Real period |
R |
2.3969530779852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14110j1 |
Quadratic twists by: -4 |