Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8160h |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
35691840 = 26 · 38 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86,-84] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:14:1] |
Generators of the group modulo torsion |
j |
1111934656/557685 |
j-invariant |
L |
3.8718106544318 |
L(r)(E,1)/r! |
Ω |
1.6503610210999 |
Real period |
R |
2.3460385969679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8160e1 16320bm2 24480o1 40800x1 |
Quadratic twists by: -4 8 -3 5 |