Atkin-Lehner |
2- 3- 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720cc |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3351744000000 = -1 · 212 · 32 · 56 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1936,-94636] |
[a1,a2,a3,a4,a6] |
Generators |
[82:552:1] |
Generators of the group modulo torsion |
j |
-196021690129/818296875 |
j-invariant |
L |
4.7062052885753 |
L(r)(E,1)/r! |
Ω |
0.32771301001232 |
Real period |
R |
1.7950940092878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000563 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795b2 |
Quadratic twists by: -4 |