Atkin-Lehner |
2- 5+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85850p |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-85850000000 = -1 · 27 · 58 · 17 · 101 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 3 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-255,14247] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:110:1] [-11:130:1] |
Generators of the group modulo torsion |
j |
-116930169/5494400 |
j-invariant |
L |
10.056742651965 |
L(r)(E,1)/r! |
Ω |
0.89398082759478 |
Real period |
R |
0.40176407519252 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17170b1 |
Quadratic twists by: 5 |