Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320bn |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-6562998743040 = -1 · 212 · 314 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5385,-197577] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1008:1] |
Generators of the group modulo torsion |
j |
-4216979924416/1602294615 |
j-invariant |
L |
8.4300125789467 |
L(r)(E,1)/r! |
Ω |
0.27348815124838 |
Real period |
R |
2.201717891218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320u1 32160c1 |
Quadratic twists by: -4 8 |