Atkin-Lehner |
2- 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650w |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-16068800 = -1 · 26 · 52 · 112 · 83 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11- 4 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68,261] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-27:1] |
Generators of the group modulo torsion |
j |
-1392225385/642752 |
j-invariant |
L |
7.937829266238 |
L(r)(E,1)/r! |
Ω |
2.0584229585665 |
Real period |
R |
0.32135561325409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45650p1 |
Quadratic twists by: 5 |