Atkin-Lehner |
2- 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13158q |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-10740788241408 = -1 · 210 · 315 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102155,-12542565] |
[a1,a2,a3,a4,a6] |
j |
-161722736941515625/14733591552 |
j-invariant |
L |
2.6704386556198 |
L(r)(E,1)/r! |
Ω |
0.13352193278099 |
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 |
105264bv1 4386a1 |
Quadratic twists by: -4 -3 |