Atkin-Lehner |
2- 5- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040u |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
10535321600 = 214 · 52 · 172 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 0 0 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560,1108] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:80:1] |
Generators of the group modulo torsion |
j |
4750104241/2572100 |
j-invariant |
L |
4.0091976296078 |
L(r)(E,1)/r! |
Ω |
1.1197539619578 |
Real period |
R |
0.89510682604055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999258458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15130k1 |
Quadratic twists by: -4 |