Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526bd |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-178209497088 = -1 · 213 · 37 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 3 3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,335,20201] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:131:1] |
Generators of the group modulo torsion |
j |
12119452073/519561216 |
j-invariant |
L |
6.1882180081239 |
L(r)(E,1)/r! |
Ω |
0.76822819161516 |
Real period |
R |
0.044259242524475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68208ca1 25578r1 8526u1 |
Quadratic twists by: -4 -3 -7 |