Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240hi |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-188770176000 = -1 · 210 · 36 · 53 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,555,-20475] |
[a1,a2,a3,a4,a6] |
j |
18429771776/184345875 |
j-invariant |
L |
2.9877109530543 |
L(r)(E,1)/r! |
Ω |
0.49795205740191 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ef1 28560dm1 |
Quadratic twists by: -4 8 |