Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fj |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-69625856880000000 = -1 · 210 · 311 · 57 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102252,17876104] |
[a1,a2,a3,a4,a6] |
j |
-158384129218816/93270234375 |
j-invariant |
L |
4.4991183271723 |
L(r)(E,1)/r! |
Ω |
0.32136559476328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960cu1 12240k1 16320cp1 |
Quadratic twists by: -4 8 -3 |