Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720j |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-238500000000000 = -1 · 211 · 32 · 512 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15144,198900] |
[a1,a2,a3,a4,a6] |
j |
187536965595982/116455078125 |
j-invariant |
L |
2.7540469105604 |
L(r)(E,1)/r! |
Ω |
0.34425586382005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6360a4 50880db3 38160o3 63600e3 |
Quadratic twists by: -4 8 -3 5 |