Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144bd |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
604064710656 = 220 · 32 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21592,1213460] |
[a1,a2,a3,a4,a6] |
Generators |
[380:6930:1] |
Generators of the group modulo torsion |
j |
271808161065433/147476736 |
j-invariant |
L |
6.2182219505502 |
L(r)(E,1)/r! |
Ω |
0.90431743449969 |
Real period |
R |
3.4380747917297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1518f2 48576cq2 36432cs2 |
Quadratic twists by: -4 8 -3 |