Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cl |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-2977838235648000 = -1 · 218 · 314 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12948,2563504] |
[a1,a2,a3,a4,a6] |
j |
1256216039/15582375 |
j-invariant |
L |
3.9982784619956 |
L(r)(E,1)/r! |
Ω |
0.33318987178822 |
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 |
54720er1 855a1 18240bj1 |
Quadratic twists by: -4 8 -3 |