Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526p |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
1.3057361583804E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1275667,72207281] |
[a1,a2,a3,a4,a6] |
j |
5689227966572359/3235735924128 |
j-invariant |
L |
3.1789054119394 |
L(r)(E,1)/r! |
Ω |
0.15894527059697 |
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 |
68208cr2 25578o2 8526bc2 |
Quadratic twists by: -4 -3 -7 |