Atkin-Lehner |
2- 3- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27666j |
Isogeny class |
Conductor |
27666 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3476480 |
Modular degree for the optimal curve |
Δ |
-1.5120795066348E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 4 1 0 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-899654,-18711436683] |
[a1,a2,a3,a4,a6] |
Generators |
[1344035:66118233:343] |
Generators of the group modulo torsion |
j |
-110464384477988727577/207418313667319629984 |
j-invariant |
L |
8.3200313365275 |
L(r)(E,1)/r! |
Ω |
0.046519594462013 |
Real period |
R |
8.9425020066774 |
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 |
9222d1 |
Quadratic twists by: -3 |