Atkin-Lehner |
2- 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
33180j |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2006726400 = 28 · 34 · 52 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-316,-316] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:30:1] [-13:42:1] |
Generators of the group modulo torsion |
j |
13674725584/7838775 |
j-invariant |
L |
9.1471993300423 |
L(r)(E,1)/r! |
Ω |
1.2282874140674 |
Real period |
R |
0.62059303230401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99540r2 |
Quadratic twists by: -3 |