Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200cd |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-103385139200000000 = -1 · 217 · 58 · 74 · 292 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 3 0 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9125,15466250] |
[a1,a2,a3,a4,a6] |
j |
52517295/64615712 |
j-invariant |
L |
6.299385999215 |
L(r)(E,1)/r! |
Ω |
0.26247441688984 |
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 |
10150p1 81200ca1 |
Quadratic twists by: -4 5 |