Atkin-Lehner |
2- 3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
84420s |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8292305586136320 = -1 · 28 · 38 · 5 · 72 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-282567,57979406] |
[a1,a2,a3,a4,a6] |
j |
-13369665473172304/44433221805 |
j-invariant |
L |
1.662908173027 |
L(r)(E,1)/r! |
Ω |
0.41572705065664 |
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 |
28140a2 |
Quadratic twists by: -3 |