Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200bk |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
89229600000000 = 211 · 38 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162075,25110250] |
[a1,a2,a3,a4,a6] |
Generators |
[-310:6750:1] [-145:6750:1] |
Generators of the group modulo torsion |
j |
20183398562/3825 |
j-invariant |
L |
9.9052370134477 |
L(r)(E,1)/r! |
Ω |
0.58617771106298 |
Real period |
R |
2.1122512905443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30600cd2 20400bh2 12240o2 |
Quadratic twists by: -4 -3 5 |