Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4176c |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256 |
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] |
j |
-864000/29 |
j-invariant |
L |
2.4211412656216 |
L(r)(E,1)/r! |
Ω |
1.2105706328108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2088i1 16704bl1 4176a1 104400f1 |
Quadratic twists by: -4 8 -3 5 |