Atkin-Lehner |
11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
12463a |
Isogeny class |
Conductor |
12463 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23232 |
Modular degree for the optimal curve |
Δ |
-25015467053819 = -1 · 119 · 1032 |
Discriminant |
Eigenvalues |
0 1 -1 4 11+ 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7099,-67721] |
[a1,a2,a3,a4,a6] |
Generators |
[173:2523:1] |
Generators of the group modulo torsion |
j |
16777216/10609 |
j-invariant |
L |
4.7586821006163 |
L(r)(E,1)/r! |
Ω |
0.38578227957047 |
Real period |
R |
3.0837873799664 |
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 |
112167i1 12463b1 |
Quadratic twists by: -3 -11 |