Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730y |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-16773120 = -1 · 212 · 32 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,64,0] |
[a1,a2,a3,a4,a6] |
Generators |
[4:16:1] |
Generators of the group modulo torsion |
j |
28962726911/16773120 |
j-invariant |
L |
4.9748694168706 |
L(r)(E,1)/r! |
Ω |
1.3063881278131 |
Real period |
R |
0.63468496472004 |
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 |
21840bg1 87360y1 8190p1 13650l1 |
Quadratic twists by: -4 8 -3 5 |