Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6786q |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
174720 |
Modular degree for the optimal curve |
Δ |
-542202177546849222 = -1 · 2 · 311 · 137 · 293 |
Discriminant |
Eigenvalues |
2- 3- 4 4 1 13- 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,52492,35110509] |
[a1,a2,a3,a4,a6] |
j |
21942358211971079/743761560420918 |
j-invariant |
L |
6.1754554326527 |
L(r)(E,1)/r! |
Ω |
0.22055197973759 |
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 |
54288bt1 2262c1 88218w1 |
Quadratic twists by: -4 -3 13 |