Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840cq |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-70470000000000 = -1 · 210 · 35 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 3 1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7279,323145] |
[a1,a2,a3,a4,a6] |
Generators |
[5616:1284375:2197] |
Generators of the group modulo torsion |
j |
41646570900224/68818359375 |
j-invariant |
L |
4.9259426602915 |
L(r)(E,1)/r! |
Ω |
0.42089229100625 |
Real period |
R |
5.8517853207941 |
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 |
27840bt1 6960r1 83520fx1 |
Quadratic twists by: -4 8 -3 |