Atkin-Lehner |
2- 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18972a |
Isogeny class |
Conductor |
18972 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
32634268416 = 28 · 33 · 173 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78639,8487990] |
[a1,a2,a3,a4,a6] |
j |
7780973376497904/4721393 |
j-invariant |
L |
2.8889167136394 |
L(r)(E,1)/r! |
Ω |
0.96297223787982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75888p2 18972b2 |
Quadratic twists by: -4 -3 |