Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jw |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
212415000000 = 26 · 3 · 57 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-312460,-67330642] |
[a1,a2,a3,a4,a6] |
Generators |
[4861:336600:1] |
Generators of the group modulo torsion |
j |
52714296298872149824/3318984375 |
j-invariant |
L |
8.8402992123791 |
L(r)(E,1)/r! |
Ω |
0.20192999447101 |
Real period |
R |
6.2541470755191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hk1 57120bd2 |
Quadratic twists by: -4 8 |