Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744j |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-3995136 = -1 · 29 · 33 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 -1 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,12] |
[a1,a2,a3,a4,a6] |
j |
46648/27 |
j-invariant |
L |
4.4250282166518 |
L(r)(E,1)/r! |
Ω |
1.4750094055506 |
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 |
27744c1 55488ck1 83232bh1 27744g1 |
Quadratic twists by: -4 8 -3 17 |