Atkin-Lehner |
2- 3- 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
126990bu |
Isogeny class |
Conductor |
126990 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-7422735239913600 = -1 · 27 · 39 · 52 · 175 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,26842,3777077] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:1843:1] |
Generators of the group modulo torsion |
j |
2933972022568679/10182078518400 |
j-invariant |
L |
11.555820508268 |
L(r)(E,1)/r! |
Ω |
0.29629160812934 |
Real period |
R |
0.13929111171446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42330o1 |
Quadratic twists by: -3 |