Atkin-Lehner |
2- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38686f |
Isogeny class |
Conductor |
38686 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
118320 |
Modular degree for the optimal curve |
Δ |
-23011334996206 = -1 · 2 · 23 · 298 |
Discriminant |
Eigenvalues |
2- -2 1 2 3 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14735,-727337] |
[a1,a2,a3,a4,a6] |
Generators |
[7817872352128000257326:-154576438857621218871005:19008040411980046952] |
Generators of the group modulo torsion |
j |
-707281/46 |
j-invariant |
L |
7.7215283599501 |
L(r)(E,1)/r! |
Ω |
0.21585041252552 |
Real period |
R |
35.772590237868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38686a1 |
Quadratic twists by: 29 |