Atkin-Lehner |
5- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85255b |
Isogeny class |
Conductor |
85255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-1.4609252598536E+19 |
Discriminant |
Eigenvalues |
2 -2 5- 0 3 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-299500,194316629] |
[a1,a2,a3,a4,a6] |
j |
-123089813622784/605249542675 |
j-invariant |
L |
3.0830928526421 |
L(r)(E,1)/r! |
Ω |
0.19269330589348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5015a1 |
Quadratic twists by: 17 |