Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2890a |
Isogeny class |
Conductor |
2890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
491300 = 22 · 52 · 173 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20,-4] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
185193/100 |
j-invariant |
L |
2.3070150628173 |
L(r)(E,1)/r! |
Ω |
2.3993989160661 |
Real period |
R |
0.48074854234737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23120o1 92480bq1 26010bv1 14450r1 |
Quadratic twists by: -4 8 -3 5 |