Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526v |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1221745805532 = -1 · 22 · 32 · 79 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 4 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2204,36161] |
[a1,a2,a3,a4,a6] |
j |
10063705679/10384668 |
j-invariant |
L |
4.56471340454 |
L(r)(E,1)/r! |
Ω |
0.5705891755675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208dc1 25578t1 1218j1 |
Quadratic twists by: -4 -3 -7 |