Atkin-Lehner |
7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013j |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-2199197 = -1 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
1 -1 4 7- 11+ 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,70] |
[a1,a2,a3,a4,a6] |
j |
-169/77 |
j-invariant |
L |
2.108808402865 |
L(r)(E,1)/r! |
Ω |
2.108808402865 |
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 |
117117bu1 91091c1 13013c1 |
Quadratic twists by: -3 -7 13 |