Atkin-Lehner |
2- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4588f |
Isogeny class |
Conductor |
4588 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
9102592 = 28 · 312 · 37 |
Discriminant |
Eigenvalues |
2- -3 -2 1 -1 6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-736,7684] |
[a1,a2,a3,a4,a6] |
Generators |
[24:62:1] |
Generators of the group modulo torsion |
j |
172233326592/35557 |
j-invariant |
L |
1.9431822714829 |
L(r)(E,1)/r! |
Ω |
2.2455920260083 |
Real period |
R |
0.14422197271938 |
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 |
18352g1 73408s1 41292g1 114700p1 |
Quadratic twists by: -4 8 -3 5 |