Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080be |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
277102632960000 = 216 · 34 · 54 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23040,-1089612] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:420:1] |
Generators of the group modulo torsion |
j |
330240275458561/67652010000 |
j-invariant |
L |
4.3836261716152 |
L(r)(E,1)/r! |
Ω |
0.39308342182918 |
Real period |
R |
2.7879744655832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
510e3 16320bt4 12240bm3 20400bt4 |
Quadratic twists by: -4 8 -3 5 |