Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5040y |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-474252342681600 = -1 · 213 · 39 · 52 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10827,1133946] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1080:1] |
Generators of the group modulo torsion |
j |
-1740992427/5882450 |
j-invariant |
L |
4.0131730255527 |
L(r)(E,1)/r! |
Ω |
0.46066251339988 |
Real period |
R |
1.0889677662107 |
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 |
630h4 20160cr4 5040u2 25200cx4 |
Quadratic twists by: -4 8 -3 5 |