Atkin-Lehner |
2- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
81200bz |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-324800000000 = -1 · 212 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 2 -4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,800,-26000] |
[a1,a2,a3,a4,a6] |
j |
884736/5075 |
j-invariant |
L |
0.96636959274872 |
L(r)(E,1)/r! |
Ω |
0.48318476890579 |
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 |
5075e1 16240n1 |
Quadratic twists by: -4 5 |