Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12654p |
Isogeny class |
Conductor |
12654 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-2427138432 = -1 · 27 · 36 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -2 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-689,7521] |
[a1,a2,a3,a4,a6] |
Generators |
[3:72:1] |
Generators of the group modulo torsion |
j |
-49552182217/3329408 |
j-invariant |
L |
8.0223639161882 |
L(r)(E,1)/r! |
Ω |
1.4266881876049 |
Real period |
R |
0.40164767535884 |
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 |
101232bb1 1406b1 |
Quadratic twists by: -4 -3 |