Atkin-Lehner |
2- 3+ 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
39990n |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
4.3804372093895E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3093471,-1837498107] |
[a1,a2,a3,a4,a6] |
Generators |
[-1221:11618:1] |
Generators of the group modulo torsion |
j |
3273873299844910226364529/438043720938946560000 |
j-invariant |
L |
7.8166041530605 |
L(r)(E,1)/r! |
Ω |
0.11484557433803 |
Real period |
R |
1.0312404020895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970x1 |
Quadratic twists by: -3 |