Atkin-Lehner |
2+ 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43472d |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31744 |
Modular degree for the optimal curve |
Δ |
-140718516224 = -1 · 211 · 114 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 1 -1 -1 11+ 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2256,44276] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-76:1] [70:484:1] |
Generators of the group modulo torsion |
j |
-620302509218/68710213 |
j-invariant |
L |
9.7355353216836 |
L(r)(E,1)/r! |
Ω |
1.0063639063238 |
Real period |
R |
0.60462319224852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21736e1 |
Quadratic twists by: -4 |