Atkin-Lehner |
3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965w |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-287519449875 = -1 · 3 · 53 · 79 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,915,-23194] |
[a1,a2,a3,a4,a6] |
j |
2097152/7125 |
j-invariant |
L |
2.9805596279225 |
L(r)(E,1)/r! |
Ω |
0.49675993798708 |
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 |
41895w1 69825h1 13965a1 |
Quadratic twists by: -3 5 -7 |