Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648t |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
383040 |
Modular degree for the optimal curve |
Δ |
-29582377710326784 = -1 · 210 · 35 · 7 · 198 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -1 -6 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,66304,5007324] |
[a1,a2,a3,a4,a6] |
j |
1853564/1701 |
j-invariant |
L |
0.48683206280727 |
L(r)(E,1)/r! |
Ω |
0.24341603088216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296bh1 60648n1 |
Quadratic twists by: -4 -19 |