Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bu |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
892296000 = 26 · 38 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1065,13300] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:162:1] [5:90:1] |
Generators of the group modulo torsion |
j |
22906304/153 |
j-invariant |
L |
11.726465607082 |
L(r)(E,1)/r! |
Ω |
1.5849782713812 |
Real period |
R |
1.849625609434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400eh1 40800bw1 122400dy1 |
Quadratic twists by: -4 -3 5 |