Atkin-Lehner |
2- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810x |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
295936 |
Modular degree for the optimal curve |
Δ |
68780968368260 = 22 · 5 · 179 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -4 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11566,263616] |
[a1,a2,a3,a4,a6] |
j |
1442897/580 |
j-invariant |
L |
2.2414539391091 |
L(r)(E,1)/r! |
Ω |
0.56036347772979 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83810bg1 |
Quadratic twists by: 17 |