Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040l |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
10081895040000 = 210 · 38 · 54 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5403,5402] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:378:1] |
Generators of the group modulo torsion |
j |
23366901604/13505625 |
j-invariant |
L |
3.7907974860046 |
L(r)(E,1)/r! |
Ω |
0.61457042659539 |
Real period |
R |
0.77102585032543 |
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 |
2520f4 20160fh3 1680d4 25200bc3 |
Quadratic twists by: -4 8 -3 5 |