Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200a |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-324673592320000000 = -1 · 216 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37300,-27274000] |
[a1,a2,a3,a4,a6] |
Generators |
[21869:3234147:1] |
Generators of the group modulo torsion |
j |
5604672636/317064055 |
j-invariant |
L |
3.5620882156802 |
L(r)(E,1)/r! |
Ω |
0.14576695435241 |
Real period |
R |
6.109217689196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999976307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200gc3 15400n4 24640i3 |
Quadratic twists by: -4 8 5 |