Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2088i |
Isogeny class |
Conductor |
2088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-12528 = -1 · 24 · 33 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 -3 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15,23] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
-864000/29 |
j-invariant |
L |
2.9774838602486 |
L(r)(E,1)/r! |
Ω |
3.9791735039179 |
Real period |
R |
0.18706672738176 |
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 |
4176c1 16704b1 2088a1 52200d1 |
Quadratic twists by: -4 8 -3 5 |