Atkin-Lehner |
5+ 37- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
16465a |
Isogeny class |
Conductor |
16465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1104 |
Modular degree for the optimal curve |
Δ |
82325 = 52 · 37 · 89 |
Discriminant |
Eigenvalues |
0 -2 5+ -2 -3 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11,-9] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] [-1:1:1] |
Generators of the group modulo torsion |
j |
160989184/82325 |
j-invariant |
L |
3.747631273607 |
L(r)(E,1)/r! |
Ω |
2.7483746752282 |
Real period |
R |
0.68179046099214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82325a1 |
Quadratic twists by: 5 |