Atkin-Lehner |
2- 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18972d |
Isogeny class |
Conductor |
18972 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-8464319856 = -1 · 24 · 310 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 1 4 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,483,-1703] |
[a1,a2,a3,a4,a6] |
j |
1068359936/725679 |
j-invariant |
L |
2.9646273183119 |
L(r)(E,1)/r! |
Ω |
0.74115682957797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75888ba1 6324b1 |
Quadratic twists by: -4 -3 |