Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720u |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
1266057216000 = 218 · 36 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3360,52992] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:320:1] |
Generators of the group modulo torsion |
j |
1024497361441/309096000 |
j-invariant |
L |
3.6170781531135 |
L(r)(E,1)/r! |
Ω |
0.79857963903378 |
Real period |
R |
0.7548982335458 |
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 |
1590u1 50880dp1 38160bp1 63600da1 |
Quadratic twists by: -4 8 -3 5 |