Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840br |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
46503936000000 = 217 · 33 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9441,127359] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-1392:1] |
Generators of the group modulo torsion |
j |
710090624882/354796875 |
j-invariant |
L |
5.922982716053 |
L(r)(E,1)/r! |
Ω |
0.56475470037244 |
Real period |
R |
0.8739757149058 |
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 |
27840cp2 3480a2 83520cb2 |
Quadratic twists by: -4 8 -3 |