Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60384k |
Isogeny class |
Conductor |
60384 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
42719989248 = 29 · 33 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10752,-432612] |
[a1,a2,a3,a4,a6] |
j |
268510893428744/83437479 |
j-invariant |
L |
2.813087389399 |
L(r)(E,1)/r! |
Ω |
0.46884789836157 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60384t4 120768g4 |
Quadratic twists by: -4 8 |