Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960eh |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7401059942400 = 215 · 312 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4908,-19568] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:180:1] |
Generators of the group modulo torsion |
j |
547343432/309825 |
j-invariant |
L |
4.7686915447154 |
L(r)(E,1)/r! |
Ω |
0.61518178604092 |
Real period |
R |
1.9379196738678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960ef2 24480bg2 16320db2 |
Quadratic twists by: -4 8 -3 |