Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17680b |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
73548800 = 210 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-860] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:10:1] [-6:4:1] |
Generators of the group modulo torsion |
j |
592143556/71825 |
j-invariant |
L |
4.6933189923494 |
L(r)(E,1)/r! |
Ω |
1.3205409431123 |
Real period |
R |
0.88852205166928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8840a1 70720bi1 88400f1 |
Quadratic twists by: -4 8 5 |