Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51156c |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-1042466184878832 = -1 · 24 · 33 · 76 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -5 3 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16905,-1768851] |
[a1,a2,a3,a4,a6] |
j |
-10512288000/20511149 |
j-invariant |
L |
1.9688903874742 |
L(r)(E,1)/r! |
Ω |
0.19688903883602 |
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 |
51156a1 1044c1 |
Quadratic twists by: -3 -7 |