Atkin-Lehner |
2+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109888a |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
1120967488 = 26 · 17 · 1013 |
Discriminant |
Eigenvalues |
2+ -1 0 5 -3 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373,-2137] |
[a1,a2,a3,a4,a6] |
Generators |
[-604:1363:64] |
Generators of the group modulo torsion |
j |
89915392000/17515117 |
j-invariant |
L |
6.090875178089 |
L(r)(E,1)/r! |
Ω |
1.1008471481898 |
Real period |
R |
5.5328981465615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109888o1 1717a1 |
Quadratic twists by: -4 8 |