Atkin-Lehner |
2+ 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
56880i |
Isogeny class |
Conductor |
56880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-11607691806720 = -1 · 211 · 315 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 5 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16923,-863062] |
[a1,a2,a3,a4,a6] |
j |
-359003179442/7774785 |
j-invariant |
L |
3.3443634107619 |
L(r)(E,1)/r! |
Ω |
0.20902271310353 |
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 |
28440m1 18960b1 |
Quadratic twists by: -4 -3 |