Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466cf |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-118879488 = -1 · 28 · 36 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -1 13- -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20,-521] |
[a1,a2,a3,a4,a6] |
Generators |
[13:29:1] |
Generators of the group modulo torsion |
j |
-23625/3328 |
j-invariant |
L |
6.8512787218613 |
L(r)(E,1)/r! |
Ω |
0.8286357660422 |
Real period |
R |
0.51675891587634 |
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 |
91728ew1 1274e1 11466br1 |
Quadratic twists by: -4 -3 -7 |