Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17424n |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
241441440768 = 210 · 311 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11+ -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8283,-289190] |
[a1,a2,a3,a4,a6] |
j |
63253004/243 |
j-invariant |
L |
2.0022254675293 |
L(r)(E,1)/r! |
Ω |
0.50055636688234 |
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 |
8712g1 69696fj1 5808k1 17424m1 |
Quadratic twists by: -4 8 -3 -11 |