Atkin-Lehner |
3+ 5+ 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
128775b |
Isogeny class |
Conductor |
128775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
289440 |
Modular degree for the optimal curve |
Δ |
7696318359375 = 33 · 510 · 172 · 101 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 -6 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5325,-69750] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:288:1] |
Generators of the group modulo torsion |
j |
1710448225/788103 |
j-invariant |
L |
5.0656405555818 |
L(r)(E,1)/r! |
Ω |
0.58401986984865 |
Real period |
R |
4.3368734132858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000124026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128775f1 |
Quadratic twists by: 5 |