Atkin-Lehner |
7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14651h |
Isogeny class |
Conductor |
14651 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1723675499 = -1 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
-2 1 -1 7- -3 13+ -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16,1992] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:24:1] [30:171:1] |
Generators of the group modulo torsion |
j |
-4096/14651 |
j-invariant |
L |
3.9164405899628 |
L(r)(E,1)/r! |
Ω |
1.1978547229422 |
Real period |
R |
0.81738638980037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093i1 |
Quadratic twists by: -7 |