Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7280n |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
50116591616000 = 218 · 53 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15176,638960] |
[a1,a2,a3,a4,a6] |
Generators |
[1020:9280:27] |
Generators of the group modulo torsion |
j |
94376601570889/12235496000 |
j-invariant |
L |
5.319780495363 |
L(r)(E,1)/r! |
Ω |
0.61070015058706 |
Real period |
R |
4.3554766526987 |
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 |
910c3 29120cc3 65520dr3 36400by3 |
Quadratic twists by: -4 8 -3 5 |