Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cs |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
6430230493112844288 = 214 · 314 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1443900,-656572304] |
[a1,a2,a3,a4,a6] |
j |
27873248949250000/538367795433 |
j-invariant |
L |
1.6546484993685 |
L(r)(E,1)/r! |
Ω |
0.13788748324582 |
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 |
127296r1 31824c1 42432cm1 |
Quadratic twists by: -4 8 -3 |