Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526t |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-7021527618 = -1 · 2 · 3 · 79 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -5 -3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2059,-37045] |
[a1,a2,a3,a4,a6] |
j |
-8205738913/59682 |
j-invariant |
L |
0.70842799242142 |
L(r)(E,1)/r! |
Ω |
0.35421399621071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208cz1 25578n1 1218i1 |
Quadratic twists by: -4 -3 -7 |