Atkin-Lehner |
5- 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13195j |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
7878321166625 = 53 · 78 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29272,1930194] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:2006:1] |
Generators of the group modulo torsion |
j |
2773747937160483921/7878321166625 |
j-invariant |
L |
3.1416217668497 |
L(r)(E,1)/r! |
Ω |
0.74191651941245 |
Real period |
R |
1.4114893363554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118755d1 65975c1 92365c1 |
Quadratic twists by: -3 5 -7 |