Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42891k |
Isogeny class |
Conductor |
42891 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-25512567061011 = -1 · 3 · 17 · 298 |
Discriminant |
Eigenvalues |
0 3- -3 2 3 7 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14577,714842] |
[a1,a2,a3,a4,a6] |
j |
-575930368/42891 |
j-invariant |
L |
2.6325315952102 |
L(r)(E,1)/r! |
Ω |
0.65813289875991 |
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 |
128673m1 1479c1 |
Quadratic twists by: -3 29 |