Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11560j |
Isogeny class |
Conductor |
11560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
103218887702988800 = 211 · 52 · 1710 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336107,-73390394] |
[a1,a2,a3,a4,a6] |
Generators |
[-2291666:8702520:6859] |
Generators of the group modulo torsion |
j |
84944038338/2088025 |
j-invariant |
L |
4.5814639255213 |
L(r)(E,1)/r! |
Ω |
0.19857789375977 |
Real period |
R |
11.535684659501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23120i4 92480a4 104040i4 57800a4 |
Quadratic twists by: -4 8 -3 5 |