Atkin-Lehner |
2+ 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720f |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3491351424000 = 210 · 34 · 53 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61696,5918320] |
[a1,a2,a3,a4,a6] |
Generators |
[46:1782:1] |
Generators of the group modulo torsion |
j |
25363069887439876/3409522875 |
j-invariant |
L |
4.4787296510176 |
L(r)(E,1)/r! |
Ω |
0.76282227072956 |
Real period |
R |
1.467815578737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360bb4 |
Quadratic twists by: -4 |