Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
870g |
Isogeny class |
Conductor |
870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
24967098180 = 22 · 316 · 5 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3230,-71593] |
[a1,a2,a3,a4,a6] |
j |
3726830856733921/24967098180 |
j-invariant |
L |
2.5341570608475 |
L(r)(E,1)/r! |
Ω |
0.63353926521187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6960bo3 27840bl4 2610c3 4350n3 |
Quadratic twists by: -4 8 -3 5 |