Atkin-Lehner |
2+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
26912d |
Isogeny class |
Conductor |
26912 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17760 |
Modular degree for the optimal curve |
Δ |
362127872 = 29 · 294 |
Discriminant |
Eigenvalues |
2+ -2 -4 -3 -2 4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-280,1464] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:40:1] [-10:58:1] |
Generators of the group modulo torsion |
j |
6728 |
j-invariant |
L |
4.0145883195299 |
L(r)(E,1)/r! |
Ω |
1.6299721170964 |
Real period |
R |
0.41049662521039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26912c1 53824bn1 26912g1 |
Quadratic twists by: -4 8 29 |