Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19824x |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
23574068969472 = 214 · 310 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7168,-2380] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:162:1] |
Generators of the group modulo torsion |
j |
9945310362625/5755387932 |
j-invariant |
L |
6.4310023934232 |
L(r)(E,1)/r! |
Ω |
0.56992797504412 |
Real period |
R |
1.1283886166362 |
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 |
2478d2 79296bk2 59472bi2 |
Quadratic twists by: -4 8 -3 |