Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81872bi |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-8115725744 = -1 · 24 · 74 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 6 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,92,-4321] |
[a1,a2,a3,a4,a6] |
j |
5382291456/507232859 |
j-invariant |
L |
7.4743031058526 |
L(r)(E,1)/r! |
Ω |
0.62285859102649 |
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 |
20468d1 |
Quadratic twists by: -4 |