Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560cq |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-2107868262589440000 = -1 · 213 · 38 · 54 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,260880,47510100] |
[a1,a2,a3,a4,a6] |
j |
99317171591/106616250 |
j-invariant |
L |
2.7678925710361 |
L(r)(E,1)/r! |
Ω |
0.17299328568517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5070q4 121680dd3 3120u4 |
Quadratic twists by: -4 -3 13 |