Atkin-Lehner |
3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12483b |
Isogeny class |
Conductor |
12483 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
37449 = 33 · 19 · 73 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86,-284] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-2:1] |
Generators of the group modulo torsion |
j |
2576987811/1387 |
j-invariant |
L |
2.1799909342096 |
L(r)(E,1)/r! |
Ω |
1.5692213790574 |
Real period |
R |
2.7784364440906 |
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 |
12483a1 |
Quadratic twists by: -3 |