Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ct |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-2878189977600 = -1 · 214 · 310 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6321,207855] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-240:1] [-21:576:1] |
Generators of the group modulo torsion |
j |
-1705021456336/175670775 |
j-invariant |
L |
12.907852473899 |
L(r)(E,1)/r! |
Ω |
0.78388752946794 |
Real period |
R |
0.82332298906539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975568 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240fv1 14280g1 |
Quadratic twists by: -4 8 |