Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960cd |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-851640475189248000 = -1 · 239 · 36 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,229812,13163888] |
[a1,a2,a3,a4,a6] |
Generators |
[96928854:3392700416:328509] |
Generators of the group modulo torsion |
j |
7023836099951/4456448000 |
j-invariant |
L |
6.4898045433448 |
L(r)(E,1)/r! |
Ω |
0.17499038488315 |
Real period |
R |
9.2716587652276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960ew1 1530g1 5440e1 |
Quadratic twists by: -4 8 -3 |