Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520di |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9040365158400 = 216 · 38 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8652,273904] |
[a1,a2,a3,a4,a6] |
j |
1499221444/189225 |
j-invariant |
L |
2.8200565669982 |
L(r)(E,1)/r! |
Ω |
0.70501416192471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83520gm2 10440t2 27840bn2 |
Quadratic twists by: -4 8 -3 |