Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
27716c |
Isogeny class |
Conductor |
27716 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-111304825419008 = -1 · 28 · 139 · 41 |
Discriminant |
Eigenvalues |
2- 1 -4 -2 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7380,-442636] |
[a1,a2,a3,a4,a6] |
Generators |
[979:30758:1] |
Generators of the group modulo torsion |
j |
35969456/90077 |
j-invariant |
L |
2.9955401612274 |
L(r)(E,1)/r! |
Ω |
0.30604884650494 |
Real period |
R |
2.4469461292178 |
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 |
110864n1 2132a1 |
Quadratic twists by: -4 13 |