Atkin-Lehner |
2+ 7- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
105742a |
Isogeny class |
Conductor |
105742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-44586538959872 = -1 · 210 · 79 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 4 13+ 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17176,-925466] |
[a1,a2,a3,a4,a6] |
j |
-4762831515625/378979328 |
j-invariant |
L |
1.6605648048759 |
L(r)(E,1)/r! |
Ω |
0.2075705997054 |
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 |
15106a1 |
Quadratic twists by: -7 |