Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6786n |
Isogeny class |
Conductor |
6786 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-54910173487104 = -1 · 213 · 36 · 13 · 294 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 6 13- 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96818,-11576527] |
[a1,a2,a3,a4,a6] |
j |
-137676653031953881/75322597376 |
j-invariant |
L |
3.5183576095448 |
L(r)(E,1)/r! |
Ω |
0.13532144652096 |
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 |
54288bl1 754b1 88218p1 |
Quadratic twists by: -4 -3 13 |