Atkin-Lehner |
2- 3+ 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
90270p |
Isogeny class |
Conductor |
90270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15616 |
Modular degree for the optimal curve |
Δ |
2708100 = 22 · 33 · 52 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53,137] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:18:1] |
Generators of the group modulo torsion |
j |
599077107/100300 |
j-invariant |
L |
9.8471552562804 |
L(r)(E,1)/r! |
Ω |
2.4400813894548 |
Real period |
R |
2.0177923758676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90270e1 |
Quadratic twists by: -3 |