Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960fy |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-42830208000 = -1 · 210 · 39 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 1 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,708,6824] |
[a1,a2,a3,a4,a6] |
Generators |
[13:135:1] |
Generators of the group modulo torsion |
j |
52577024/57375 |
j-invariant |
L |
6.0354925280414 |
L(r)(E,1)/r! |
Ω |
0.75791696698481 |
Real period |
R |
0.66360529263435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960dd1 12240p1 16320br1 |
Quadratic twists by: -4 8 -3 |