Atkin-Lehner |
3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
89301d |
Isogeny class |
Conductor |
89301 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
89301 = 3 · 172 · 103 |
Discriminant |
Eigenvalues |
0 3- -1 1 -5 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
557056/309 |
j-invariant |
L |
4.474968633215 |
L(r)(E,1)/r! |
Ω |
2.9444924708434 |
Real period |
R |
1.5197758784162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89301c1 |
Quadratic twists by: 17 |