Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7140i |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
345605702400 = 28 · 33 · 52 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1876,12740] |
[a1,a2,a3,a4,a6] |
j |
2853735571024/1350022275 |
j-invariant |
L |
2.5685048767886 |
L(r)(E,1)/r! |
Ω |
0.85616829226286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
28560cc2 114240cb2 21420z2 35700f2 |
Quadratic twists by: -4 8 -3 5 |