Atkin-Lehner |
7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013c |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
33696 |
Modular degree for the optimal curve |
Δ |
-10615103872373 = -1 · 7 · 11 · 1310 |
Discriminant |
Eigenvalues |
-1 -1 -4 7+ 11- 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595,156606] |
[a1,a2,a3,a4,a6] |
j |
-169/77 |
j-invariant |
L |
0.58487821743533 |
L(r)(E,1)/r! |
Ω |
0.58487821743533 |
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 |
117117q1 91091p1 13013j1 |
Quadratic twists by: -3 -7 13 |