Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208bx |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4545976000413302784 = 217 · 320 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-416544,13711104] |
[a1,a2,a3,a4,a6] |
j |
5689227966572359/3235735924128 |
j-invariant |
L |
1.6821186251583 |
L(r)(E,1)/r! |
Ω |
0.21026482903472 |
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 |
8526bc2 68208cr2 |
Quadratic twists by: -4 -7 |