Atkin-Lehner |
2- 3- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12444b |
Isogeny class |
Conductor |
12444 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-3289994496 = -1 · 28 · 36 · 172 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -5 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,220,2532] |
[a1,a2,a3,a4,a6] |
Generators |
[16:102:1] |
Generators of the group modulo torsion |
j |
4579058864/12851541 |
j-invariant |
L |
5.8019805015343 |
L(r)(E,1)/r! |
Ω |
0.99344823703521 |
Real period |
R |
0.16222901106916 |
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 |
49776i1 37332b1 |
Quadratic twists by: -4 -3 |