Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19824k |
Isogeny class |
Conductor |
19824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3536918784 = 28 · 34 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1244,16236] |
[a1,a2,a3,a4,a6] |
Generators |
[34:120:1] |
Generators of the group modulo torsion |
j |
832326941392/13816089 |
j-invariant |
L |
5.4039308060493 |
L(r)(E,1)/r! |
Ω |
1.407878353861 |
Real period |
R |
1.9191753290436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9912b2 79296br2 59472t2 |
Quadratic twists by: -4 8 -3 |