Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74366j |
Isogeny class |
Conductor |
74366 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
303458728929632 = 25 · 197 · 1032 |
Discriminant |
Eigenvalues |
2- -2 0 -4 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1169828,486904240] |
[a1,a2,a3,a4,a6] |
Generators |
[598:834:1] |
Generators of the group modulo torsion |
j |
3763294153503625/6450272 |
j-invariant |
L |
4.6112608274383 |
L(r)(E,1)/r! |
Ω |
0.46634343248951 |
Real period |
R |
1.9776244315002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3914e2 |
Quadratic twists by: -19 |