Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992q |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1140801536 = -1 · 214 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -1 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,1711] |
[a1,a2,a3,a4,a6] |
Generators |
[15:56:1] |
Generators of the group modulo torsion |
j |
-20720464/69629 |
j-invariant |
L |
5.9231920790734 |
L(r)(E,1)/r! |
Ω |
1.35420277134 |
Real period |
R |
0.27337080736866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12992ba1 812b1 116928by1 90944br1 |
Quadratic twists by: -4 8 -3 -7 |