Atkin-Lehner |
2+ 3+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9912b |
Isogeny class |
Conductor |
9912 |
Conductor |
∏ cp |
16 |
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] |
j |
832326941392/13816089 |
j-invariant |
L |
0.80464168801396 |
L(r)(E,1)/r! |
Ω |
0.80464168801396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19824k2 79296q2 29736n2 69384k2 |
Quadratic twists by: -4 8 -3 -7 |