Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59800g |
Isogeny class |
Conductor |
59800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
23920000000 = 210 · 57 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 0 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1008,9488] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:100:1] |
Generators of the group modulo torsion |
j |
7086244/1495 |
j-invariant |
L |
8.0005362750476 |
L(r)(E,1)/r! |
Ω |
1.133135898191 |
Real period |
R |
0.88256583871946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119600e1 11960c1 |
Quadratic twists by: -4 5 |