Atkin-Lehner |
5- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14105c |
Isogeny class |
Conductor |
14105 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-11860541875 = -1 · 54 · 72 · 13 · 313 |
Discriminant |
Eigenvalues |
2 0 5- 7+ 3 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18437,-963585] |
[a1,a2,a3,a4,a6] |
j |
-693097734329266176/11860541875 |
j-invariant |
L |
4.916519781793 |
L(r)(E,1)/r! |
Ω |
0.20485499090804 |
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 |
126945h1 70525l1 98735h1 |
Quadratic twists by: -3 5 -7 |