Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5220l |
Isogeny class |
Conductor |
5220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-84564000000 = -1 · 28 · 36 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1017,6318] |
[a1,a2,a3,a4,a6] |
j |
623331504/453125 |
j-invariant |
L |
1.3732608077274 |
L(r)(E,1)/r! |
Ω |
0.68663040386372 |
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 |
20880bz2 83520cg2 580b2 26100v2 |
Quadratic twists by: -4 8 -3 5 |