Atkin-Lehner |
2+ 5- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
16330d |
Isogeny class |
Conductor |
16330 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6192 |
Modular degree for the optimal curve |
Δ |
408250 = 2 · 53 · 23 · 71 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 2 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34,-62] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] |
Generators of the group modulo torsion |
j |
4419017721/408250 |
j-invariant |
L |
1.8408596042775 |
L(r)(E,1)/r! |
Ω |
1.9860705208618 |
Real period |
R |
0.30896177232732 |
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 |
81650r1 |
Quadratic twists by: 5 |