Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824h |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
224566272 = 210 · 32 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,836] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:18:1] |
Generators of the group modulo torsion |
j |
976562500/219303 |
j-invariant |
L |
6.4341572676755 |
L(r)(E,1)/r! |
Ω |
1.667057037309 |
Real period |
R |
1.9297951790724 |
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 |
9912i2 79296bo2 59472r2 |
Quadratic twists by: -4 8 -3 |