Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368bp |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-1170672 = -1 · 24 · 3 · 293 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -3 5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-222,1203] |
[a1,a2,a3,a4,a6] |
j |
-3114752/3 |
j-invariant |
L |
5.4518166104865 |
L(r)(E,1)/r! |
Ω |
2.7259083052243 |
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 |
10092d1 121104cv1 40368ba1 |
Quadratic twists by: -4 -3 29 |