Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960br |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-27304257600 = -1 · 26 · 310 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,717,-2932] |
[a1,a2,a3,a4,a6] |
j |
873722816/585225 |
j-invariant |
L |
1.3475141311215 |
L(r)(E,1)/r! |
Ω |
0.67375706551224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bq1 24480bh2 16320t1 |
Quadratic twists by: -4 8 -3 |