Atkin-Lehner |
7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013b |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
13013 = 7 · 11 · 132 |
Discriminant |
Eigenvalues |
0 -2 0 7+ 11- 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-43,95] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:14:1] [3:1:1] |
Generators of the group modulo torsion |
j |
53248000/77 |
j-invariant |
L |
4.0713436765147 |
L(r)(E,1)/r! |
Ω |
3.9822790927211 |
Real period |
R |
1.0223652289855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117k1 91091m1 13013h1 |
Quadratic twists by: -3 -7 13 |