Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918bq |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-568588180483152704 = -1 · 26 · 7 · 175 · 197 |
Discriminant |
Eigenvalues |
2- 1 3 7- -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,207026,1300036] |
[a1,a2,a3,a4,a6] |
Generators |
[1170:42374:1] |
Generators of the group modulo torsion |
j |
20858191412183/12085822784 |
j-invariant |
L |
15.450851815145 |
L(r)(E,1)/r! |
Ω |
0.17463637655678 |
Real period |
R |
0.7372868184864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4522c1 |
Quadratic twists by: -19 |