Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720b |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8379360000 = -1 · 28 · 32 · 54 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-516,6480] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:92:1] |
Generators of the group modulo torsion |
j |
-59466754384/32731875 |
j-invariant |
L |
5.5331405801652 |
L(r)(E,1)/r! |
Ω |
1.215061542425 |
Real period |
R |
1.1384486272926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360l2 |
Quadratic twists by: -4 |