Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040l |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18517766400 = 28 · 310 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3783,89318] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:360:1] |
Generators of the group modulo torsion |
j |
32082281296/99225 |
j-invariant |
L |
3.7907974860046 |
L(r)(E,1)/r! |
Ω |
1.2291408531908 |
Real period |
R |
1.5420517006509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2520f2 20160fh2 1680d2 25200bc2 |
Quadratic twists by: -4 8 -3 5 |