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 |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-5781086640 = -1 · 24 · 36 · 5 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,419,1724] |
[a1,a2,a3,a4,a6] |
j |
507234615296/361317915 |
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 |
28560cc1 114240cb1 21420z1 35700f1 |
Quadratic twists by: -4 8 -3 5 |