Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
1602c |
Isogeny class |
Conductor |
1602 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
1063010304 = 214 · 36 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401,-2559] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:24:1] |
Generators of the group modulo torsion |
j |
9759185353/1458176 |
j-invariant |
L |
3.6420535755919 |
L(r)(E,1)/r! |
Ω |
1.0777623303942 |
Real period |
R |
0.48275334298556 |
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 |
12816i1 51264h1 178b1 40050e1 |
Quadratic twists by: -4 8 -3 5 |