Atkin-Lehner |
2- 7+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110768l |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-24301983464192 = -1 · 28 · 73 · 235 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 7+ -2 4 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6827,-93233] |
[a1,a2,a3,a4,a6] |
j |
137438953472000/94929622907 |
j-invariant |
L |
0.76147525232736 |
L(r)(E,1)/r! |
Ω |
0.38073777440634 |
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 |
27692b1 |
Quadratic twists by: -4 |