Atkin-Lehner |
5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85255c |
Isogeny class |
Conductor |
85255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-605249542675 = -1 · 52 · 177 · 59 |
Discriminant |
Eigenvalues |
0 0 5- 0 1 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-71672,7385467] |
[a1,a2,a3,a4,a6] |
Generators |
[187:722:1] |
Generators of the group modulo torsion |
j |
-1686858891264/25075 |
j-invariant |
L |
5.1228499074989 |
L(r)(E,1)/r! |
Ω |
0.83702743327483 |
Real period |
R |
0.76503614203029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5015b1 |
Quadratic twists by: 17 |