Atkin-Lehner |
2- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20482j |
Isogeny class |
Conductor |
20482 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33056083769324 = 22 · 78 · 11 · 194 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11+ 0 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8919,168349] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:719:1] |
Generators of the group modulo torsion |
j |
666940371553/280972076 |
j-invariant |
L |
3.8639552406576 |
L(r)(E,1)/r! |
Ω |
0.59303253707866 |
Real period |
R |
1.6288968138628 |
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 |
2926b2 |
Quadratic twists by: -7 |