Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240if |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
856961078400000 = 210 · 38 · 55 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65541,-6324741] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:333:1] |
Generators of the group modulo torsion |
j |
30406719792234496/836876053125 |
j-invariant |
L |
7.6485137167026 |
L(r)(E,1)/r! |
Ω |
0.29888267896687 |
Real period |
R |
3.1987943216289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240y1 28560cr1 |
Quadratic twists by: -4 8 |