Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720w |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-66925791019008000 = -1 · 232 · 38 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45228,12985648] |
[a1,a2,a3,a4,a6] |
j |
-53540005609/350208000 |
j-invariant |
L |
1.1986511553423 |
L(r)(E,1)/r! |
Ω |
0.29966278891356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dz1 1710t1 18240bm1 |
Quadratic twists by: -4 8 -3 |