Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7140p |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
13390016850000 = 24 · 38 · 55 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16385,782400] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:945:1] |
Generators of the group modulo torsion |
j |
30406719792234496/836876053125 |
j-invariant |
L |
5.2743007897006 |
L(r)(E,1)/r! |
Ω |
0.7049896976541 |
Real period |
R |
0.062344892027632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560cr1 114240y1 21420r1 35700i1 |
Quadratic twists by: -4 8 -3 5 |