Atkin-Lehner |
2+ 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720b |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
3339600 = 24 · 3 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-571,5446] |
[a1,a2,a3,a4,a6] |
Generators |
[18:26:1] |
Generators of the group modulo torsion |
j |
1289057880064/208725 |
j-invariant |
L |
5.5331405801652 |
L(r)(E,1)/r! |
Ω |
2.4301230848499 |
Real period |
R |
2.2768972545851 |
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 |
30360l1 |
Quadratic twists by: -4 |