Atkin-Lehner |
3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12483a |
Isogeny class |
Conductor |
12483 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
27300321 = 39 · 19 · 73 |
Discriminant |
Eigenvalues |
1 3+ 2 0 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-771,8432] |
[a1,a2,a3,a4,a6] |
Generators |
[9544:3743:512] |
Generators of the group modulo torsion |
j |
2576987811/1387 |
j-invariant |
L |
6.6316419053114 |
L(r)(E,1)/r! |
Ω |
2.0813643632279 |
Real period |
R |
6.3723988192309 |
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 |
12483b1 |
Quadratic twists by: -3 |