Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400gd |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-5479747200000000 = -1 · 213 · 310 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19875,3721250] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-1800:1] |
Generators of the group modulo torsion |
j |
-744385/4698 |
j-invariant |
L |
5.954394200403 |
L(r)(E,1)/r! |
Ω |
0.36947560240668 |
Real period |
R |
0.6714915866204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13050t1 34800cj1 104400ey1 |
Quadratic twists by: -4 -3 5 |