Atkin-Lehner |
2- 3- 5+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27030t |
Isogeny class |
Conductor |
27030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-115895384928000 = -1 · 28 · 33 · 53 · 17 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13786,809060] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:1130:1] |
Generators of the group modulo torsion |
j |
-289761381461923489/115895384928000 |
j-invariant |
L |
9.8157071950757 |
L(r)(E,1)/r! |
Ω |
0.55467392689711 |
Real period |
R |
0.7373481607162 |
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 |
81090m1 |
Quadratic twists by: -3 |