Atkin-Lehner |
2- 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114840bb |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-1433610777495600 = -1 · 24 · 318 · 52 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16818,-1616731] |
[a1,a2,a3,a4,a6] |
j |
45102357764096/122909017275 |
j-invariant |
L |
1.9717133038322 |
L(r)(E,1)/r! |
Ω |
0.24646412949781 |
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 |
38280d1 |
Quadratic twists by: -3 |