Atkin-Lehner |
2+ 3- 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
84042n |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
192356963516325888 = 213 · 310 · 72 · 234 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11397015,-14806445027] |
[a1,a2,a3,a4,a6] |
j |
224579217782301820003441/263864147484672 |
j-invariant |
L |
2.9580418586624 |
L(r)(E,1)/r! |
Ω |
0.082167827324169 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28014p2 |
Quadratic twists by: -3 |