Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18850m |
Isogeny class |
Conductor |
18850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80000 |
Modular degree for the optimal curve |
Δ |
21866000000000 = 210 · 59 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38701,-2924952] |
[a1,a2,a3,a4,a6] |
j |
3282041759381/11195392 |
j-invariant |
L |
0.68090955086249 |
L(r)(E,1)/r! |
Ω |
0.34045477543124 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18850bb1 |
Quadratic twists by: 5 |