Atkin-Lehner |
5+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13195g |
Isogeny class |
Conductor |
13195 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-24496055675 = -1 · 52 · 7 · 136 · 29 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 0 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-761,10795] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:107:1] |
Generators of the group modulo torsion |
j |
-48803194077184/24496055675 |
j-invariant |
L |
4.0279354132745 |
L(r)(E,1)/r! |
Ω |
1.1145265324784 |
Real period |
R |
2.7105245787537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
118755v1 65975a1 92365e1 |
Quadratic twists by: -3 5 -7 |