Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526r |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
3.5693179414367E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57281744164,5276798361902885] |
[a1,a2,a3,a4,a6] |
j |
176678690562294721133446471910833/3033870191363023488 |
j-invariant |
L |
2.7567759093417 |
L(r)(E,1)/r! |
Ω |
0.049228141238244 |
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 |
68208cx4 25578l4 1218h3 |
Quadratic twists by: -4 -3 -7 |