Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bu |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-361304064 = -1 · 212 · 36 · 112 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4323,-109406] |
[a1,a2,a3,a4,a6] |
j |
-24729001 |
j-invariant |
L |
1.1775576759371 |
L(r)(E,1)/r! |
Ω |
0.29438941898428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1089f1 69696fu1 1936l1 17424bt2 |
Quadratic twists by: -4 8 -3 -11 |