Atkin-Lehner |
2+ 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6042i |
Isogeny class |
Conductor |
6042 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
53568 |
Modular degree for the optimal curve |
Δ |
-14623786175629824 = -1 · 29 · 312 · 192 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 3 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-146877,22421272] |
[a1,a2,a3,a4,a6] |
j |
-350413509960208739017/14623786175629824 |
j-invariant |
L |
3.1329619632632 |
L(r)(E,1)/r! |
Ω |
0.3916202454079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48336y1 18126p1 114798o1 |
Quadratic twists by: -4 -3 -19 |