Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040bn |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
365783040000 = 214 · 36 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2547,-40014] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:90:1] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
4.2118632198786 |
L(r)(E,1)/r! |
Ω |
0.68144903221075 |
Real period |
R |
0.77259322062109 |
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 |
630e2 20160ei2 560d2 25200dy2 |
Quadratic twists by: -4 8 -3 5 |