Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696eb |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
147197952 = 212 · 33 · 113 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:11:1] [-6:24:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
8.2339213692282 |
L(r)(E,1)/r! |
Ω |
1.5471368597903 |
Real period |
R |
1.3305095339691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696eb2 34848bg1 69696dz2 69696ea2 |
Quadratic twists by: -4 8 -3 -11 |