Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cs |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1205338112000 = -1 · 222 · 53 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2228,33936] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:165:1] |
Generators of the group modulo torsion |
j |
4665834711/4598000 |
j-invariant |
L |
5.9764637652483 |
L(r)(E,1)/r! |
Ω |
0.56893149039185 |
Real period |
R |
1.7507860102724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880br1 16720w1 |
Quadratic twists by: -4 8 |