Atkin-Lehner |
3+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1887a |
Isogeny class |
Conductor |
1887 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-5661 = -1 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
-1 3+ -3 -1 -3 -4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17,20] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] [0:4:1] |
Generators of the group modulo torsion |
j |
-545338513/5661 |
j-invariant |
L |
1.855389415889 |
L(r)(E,1)/r! |
Ω |
4.2930897247081 |
Real period |
R |
0.21609022113053 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30192bi1 120768br1 5661d1 47175k1 |
Quadratic twists by: -4 8 -3 5 |