Atkin-Lehner |
11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
12463b |
Isogeny class |
Conductor |
12463 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-14120579 = -1 · 113 · 1032 |
Discriminant |
Eigenvalues |
0 1 -1 -4 11+ -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,59,72] |
[a1,a2,a3,a4,a6] |
Generators |
[12:51:1] |
Generators of the group modulo torsion |
j |
16777216/10609 |
j-invariant |
L |
2.9270070914601 |
L(r)(E,1)/r! |
Ω |
1.3837454899509 |
Real period |
R |
0.52881962628184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112167j1 12463a1 |
Quadratic twists by: -3 -11 |