Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
125248bf |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1655808 |
Modular degree for the optimal curve |
Δ |
2392842592570627072 = 210 · 19 · 1037 |
Discriminant |
Eigenvalues |
2- 1 0 -3 2 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-645933,185222915] |
[a1,a2,a3,a4,a6] |
Generators |
[-650731718:7529279311:753571] |
Generators of the group modulo torsion |
j |
29106289592608000000/2336760344307253 |
j-invariant |
L |
8.1883016177342 |
L(r)(E,1)/r! |
Ω |
0.25233415215067 |
Real period |
R |
16.225115745232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999603031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125248j1 31312a1 |
Quadratic twists by: -4 8 |