Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280q |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
47585865680 = 24 · 5 · 296 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1121,-10310] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:44:1] [442:2523:8] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
6.7749891825884 |
L(r)(E,1)/r! |
Ω |
0.84460375141283 |
Real period |
R |
8.0215002256782 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16820b1 80b2 |
Quadratic twists by: -4 29 |