Atkin-Lehner |
2- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992bl |
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] |
j |
2725888/1421 |
j-invariant |
L |
2.3668762704565 |
L(r)(E,1)/r! |
Ω |
2.3668762704565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12992h1 3248e1 116928ee1 90944eh1 |
Quadratic twists by: -4 8 -3 -7 |