Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7140i |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3041333694000 = -1 · 24 · 32 · 53 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4621,-148720] |
[a1,a2,a3,a4,a6] |
j |
-682190417035264/190083355875 |
j-invariant |
L |
2.5685048767886 |
L(r)(E,1)/r! |
Ω |
0.28538943075429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560cc3 114240cb3 21420z3 35700f3 |
Quadratic twists by: -4 8 -3 5 |