Atkin-Lehner |
2- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61364d |
Isogeny class |
Conductor |
61364 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
733045299437312 = 28 · 237 · 292 |
Discriminant |
Eigenvalues |
2- -2 -2 0 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70004,-7032428] |
[a1,a2,a3,a4,a6] |
j |
1001132368/19343 |
j-invariant |
L |
0.5877031996611 |
L(r)(E,1)/r! |
Ω |
0.2938516003456 |
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 |
2668a2 |
Quadratic twists by: -23 |