Atkin-Lehner |
2+ 5+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
85850f |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-1792569462500000 = -1 · 25 · 58 · 175 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 3 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-232876,-43322102] |
[a1,a2,a3,a4,a6] |
j |
-89387173302352561/114724445600 |
j-invariant |
L |
0.43462551565024 |
L(r)(E,1)/r! |
Ω |
0.10865636762183 |
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 |
17170m1 |
Quadratic twists by: 5 |