Atkin-Lehner |
5+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13195b |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
315132846665 = 5 · 78 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23211,1358896] |
[a1,a2,a3,a4,a6] |
Generators |
[85:1:1] |
Generators of the group modulo torsion |
j |
1382949865068368689/315132846665 |
j-invariant |
L |
1.5452576822924 |
L(r)(E,1)/r! |
Ω |
0.94152587482609 |
Real period |
R |
1.6412269950391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755i1 65975j1 92365h1 |
Quadratic twists by: -3 5 -7 |