Atkin-Lehner |
3- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045m |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-506851520175 = -1 · 310 · 52 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-653,35012] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:193:1] [-12:208:1] |
Generators of the group modulo torsion |
j |
-42180533641/695269575 |
j-invariant |
L |
5.6944173366798 |
L(r)(E,1)/r! |
Ω |
0.78449136438171 |
Real period |
R |
1.81468451892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015v1 |
Quadratic twists by: -3 |