Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17568d |
Isogeny class |
Conductor |
17568 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-677761634304 = -1 · 212 · 36 · 613 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 3 -3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2988,-74304] |
[a1,a2,a3,a4,a6] |
Generators |
[70:244:1] |
Generators of the group modulo torsion |
j |
-988047936/226981 |
j-invariant |
L |
5.1978591332679 |
L(r)(E,1)/r! |
Ω |
0.31897525512039 |
Real period |
R |
0.67897888757679 |
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 |
17568e1 35136br1 1952c1 |
Quadratic twists by: -4 8 -3 |