Atkin-Lehner |
2- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14416c |
Isogeny class |
Conductor |
14416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5239976579072 = -1 · 212 · 176 · 53 |
Discriminant |
Eigenvalues |
2- 0 0 -2 6 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2885,92586] |
[a1,a2,a3,a4,a6] |
j |
648337611375/1279291157 |
j-invariant |
L |
2.112097329871 |
L(r)(E,1)/r! |
Ω |
0.52802433246775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
901a2 57664z2 129744bz2 |
Quadratic twists by: -4 8 -3 |