Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cs |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-122157180659957760 = -1 · 232 · 39 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-416172,104696624] |
[a1,a2,a3,a4,a6] |
Generators |
[920:22372:1] |
Generators of the group modulo torsion |
j |
-41713327443241/639221760 |
j-invariant |
L |
6.2042382857467 |
L(r)(E,1)/r! |
Ω |
0.33168520258858 |
Real period |
R |
4.6763001766019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960ff1 1530l1 16320h1 |
Quadratic twists by: -4 8 -3 |