Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17760t |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-20418621419520 = -1 · 212 · 39 · 5 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 3 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18301,-971339] |
[a1,a2,a3,a4,a6] |
Generators |
[843:24124:1] |
Generators of the group modulo torsion |
j |
-165505319755264/4985014995 |
j-invariant |
L |
4.1530512272337 |
L(r)(E,1)/r! |
Ω |
0.20487009520878 |
Real period |
R |
3.3786053734859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17760l1 35520bf1 53280u1 88800n1 |
Quadratic twists by: -4 8 -3 5 |