Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560d |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
248400 = 24 · 33 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18,-17] |
[a1,a2,a3,a4,a6] |
j |
1492992/575 |
j-invariant |
L |
2.3946613919192 |
L(r)(E,1)/r! |
Ω |
2.3946613919192 |
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 |
8280a1 66240eb1 16560e1 82800b1 |
Quadratic twists by: -4 8 -3 5 |