Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960v |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1713208320 = -1 · 210 · 39 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 1 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,-1944] |
[a1,a2,a3,a4,a6] |
Generators |
[1305:2241:125] |
Generators of the group modulo torsion |
j |
6912/85 |
j-invariant |
L |
6.7240738435314 |
L(r)(E,1)/r! |
Ω |
0.7332351858862 |
Real period |
R |
4.5852094750544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960dv1 3060b1 48960b1 |
Quadratic twists by: -4 8 -3 |