Atkin-Lehner |
2- 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1488l |
Isogeny class |
Conductor |
1488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-40176 = -1 · 24 · 34 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 5 -2 -4 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2,-9] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
-87808/2511 |
j-invariant |
L |
2.270030107813 |
L(r)(E,1)/r! |
Ω |
1.5766606213966 |
Real period |
R |
0.71988545822948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
372d1 5952bg1 4464y1 37200dk1 |
Quadratic twists by: -4 8 -3 5 |