Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12720y |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-51533592920064000 = -1 · 226 · 37 · 53 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,54944,9750644] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:2862:1] |
Generators of the group modulo torsion |
j |
4478336057868191/12581443584000 |
j-invariant |
L |
4.4425599429272 |
L(r)(E,1)/r! |
Ω |
0.24979891047515 |
Real period |
R |
1.2703246367468 |
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 |
1590k1 50880dc1 38160cj1 63600cc1 |
Quadratic twists by: -4 8 -3 5 |