Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526r |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-4.5240435559436E+26 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-204380324,1520443664165] |
[a1,a2,a3,a4,a6] |
j |
-8025141932308829504241073/3845373573888057802752 |
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 |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68208cx1 25578l1 1218h1 |
Quadratic twists by: -4 -3 -7 |