Atkin-Lehner |
3- 7+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
32571d |
Isogeny class |
Conductor |
32571 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-89587089207 = -1 · 38 · 74 · 112 · 47 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 11- -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,625,12926] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-155:1] [-6:97:1] |
Generators of the group modulo torsion |
j |
37092620375/122890383 |
j-invariant |
L |
5.3594414665452 |
L(r)(E,1)/r! |
Ω |
0.75985900703607 |
Real period |
R |
1.7633012890936 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10857a1 |
Quadratic twists by: -3 |