Atkin-Lehner |
2- 3+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27666g |
Isogeny class |
Conductor |
27666 |
Conductor |
∏ cp |
116 |
Product of Tamagawa factors cp |
deg |
660736 |
Modular degree for the optimal curve |
Δ |
-3316920899050930176 = -1 · 229 · 33 · 29 · 534 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 0 -6 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-726344,-253685621] |
[a1,a2,a3,a4,a6] |
Generators |
[4237:267545:1] |
Generators of the group modulo torsion |
j |
-1569590811060623114499/122848922187071488 |
j-invariant |
L |
6.0871860366335 |
L(r)(E,1)/r! |
Ω |
0.081402671392612 |
Real period |
R |
0.64464397540495 |
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 |
27666b1 |
Quadratic twists by: -3 |