Atkin-Lehner |
2- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23200l |
Isogeny class |
Conductor |
23200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-5800000000 = -1 · 29 · 58 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-3912] |
[a1,a2,a3,a4,a6] |
j |
-5000/29 |
j-invariant |
L |
1.126076614175 |
L(r)(E,1)/r! |
Ω |
0.56303830708747 |
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 |
23200d1 46400be1 23200b1 |
Quadratic twists by: -4 8 5 |