Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bm |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-933225251451052032 = -1 · 213 · 312 · 118 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78045,-45714526] |
[a1,a2,a3,a4,a6] |
j |
9938375/176418 |
j-invariant |
L |
2.1773914201104 |
L(r)(E,1)/r! |
Ω |
0.1360869637569 |
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 |
2178c2 69696fn2 5808p2 1584l2 |
Quadratic twists by: -4 8 -3 -11 |