Atkin-Lehner |
2+ 3- 17- 103- |
Signs for the Atkin-Lehner involutions |
Class |
84048k |
Isogeny class |
Conductor |
84048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
199988517888 = 210 · 38 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2656,-48988] |
[a1,a2,a3,a4,a6] |
j |
2024284136836/195301287 |
j-invariant |
L |
5.353062246286 |
L(r)(E,1)/r! |
Ω |
0.66913278568027 |
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 |
42024j2 |
Quadratic twists by: -4 |