Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
67680u |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
438566400000 = 212 · 36 · 55 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,14848] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:40:1] |
Generators of the group modulo torsion |
j |
308915776/146875 |
j-invariant |
L |
5.974233247116 |
L(r)(E,1)/r! |
Ω |
0.83880054201405 |
Real period |
R |
3.5611763153403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67680w1 7520d1 |
Quadratic twists by: -4 -3 |