Atkin-Lehner |
2- 11+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
128656k |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-21217461714944 = -1 · 214 · 116 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -1 3 4 11+ 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5976,-134288] |
[a1,a2,a3,a4,a6] |
j |
5761331376983/5180044364 |
j-invariant |
L |
2.9897179164684 |
L(r)(E,1)/r! |
Ω |
0.37371486317662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16082c1 |
Quadratic twists by: -4 |