Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ig |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-112302489600 = -1 · 222 · 32 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1121,21279] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:180:1] |
Generators of the group modulo torsion |
j |
-594823321/428400 |
j-invariant |
L |
7.0315328568301 |
L(r)(E,1)/r! |
Ω |
0.97004760159855 |
Real period |
R |
1.812161809304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ba1 28560cs1 |
Quadratic twists by: -4 8 |