Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9280b |
Isogeny class |
Conductor |
9280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7424000000 = -1 · 214 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 4 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,452,-1872] |
[a1,a2,a3,a4,a6] |
j |
623331504/453125 |
j-invariant |
L |
1.4841617923349 |
L(r)(E,1)/r! |
Ω |
0.74208089616746 |
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 |
9280n2 580b2 83520cg2 46400j2 |
Quadratic twists by: -4 8 -3 5 |