Atkin-Lehner |
2+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992h |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
1455104 = 210 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 0 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29,-29] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] [-2:5:1] |
Generators of the group modulo torsion |
j |
2725888/1421 |
j-invariant |
L |
4.2722823251946 |
L(r)(E,1)/r! |
Ω |
2.1725913489122 |
Real period |
R |
1.9664454280989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12992bl1 1624c1 116928z1 90944bz1 |
Quadratic twists by: -4 8 -3 -7 |