Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720u |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
109764034560 = 214 · 32 · 5 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248160,47665152] |
[a1,a2,a3,a4,a6] |
Generators |
[272:464:1] |
Generators of the group modulo torsion |
j |
412630052957036641/26797860 |
j-invariant |
L |
3.6170781531135 |
L(r)(E,1)/r! |
Ω |
0.79857963903378 |
Real period |
R |
2.2646947006374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1590u3 50880dp3 38160bp3 63600da3 |
Quadratic twists by: -4 8 -3 5 |