Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720ck |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
147476736000000 = 214 · 32 · 56 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44176,-3540460] |
[a1,a2,a3,a4,a6] |
Generators |
[6514:525504:1] |
Generators of the group modulo torsion |
j |
2327730853071889/36005062500 |
j-invariant |
L |
7.2509868753157 |
L(r)(E,1)/r! |
Ω |
0.32961669503413 |
Real period |
R |
5.4995597801796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996884 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7590o2 |
Quadratic twists by: -4 |