Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18700h |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-2262700000000 = -1 · 28 · 58 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11- 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6533,217937] |
[a1,a2,a3,a4,a6] |
j |
-7710244864/565675 |
j-invariant |
L |
4.8336160024258 |
L(r)(E,1)/r! |
Ω |
0.80560266707097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800bn1 3740b1 |
Quadratic twists by: -4 5 |