Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960do |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-1.3790400472941E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5214348,-4918937328] |
[a1,a2,a3,a4,a6] |
Generators |
[69850097241:2924882182683:19465109] |
Generators of the group modulo torsion |
j |
-3038732943445107/267267200000 |
j-invariant |
L |
6.3300009402673 |
L(r)(E,1)/r! |
Ω |
0.049704483923991 |
Real period |
R |
15.919089286675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960k1 12240bk1 48960dr1 |
Quadratic twists by: -4 8 -3 |