Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10092j |
Isogeny class |
Conductor |
10092 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10584 |
Modular degree for the optimal curve |
Δ |
284473296 = 24 · 36 · 293 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7037,224880] |
[a1,a2,a3,a4,a6] |
j |
98772058112/729 |
j-invariant |
L |
4.6601194044098 |
L(r)(E,1)/r! |
Ω |
1.5533731348033 |
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 |
40368bb1 30276s1 10092e1 |
Quadratic twists by: -4 -3 29 |