Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240bh |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
119563310477318400 = 28 · 312 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137620,-10504000] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:726:1] |
Generators of the group modulo torsion |
j |
1125982298608534096/467044181552025 |
j-invariant |
L |
5.4703767990903 |
L(r)(E,1)/r! |
Ω |
0.25712805903072 |
Real period |
R |
1.7729093237664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
18480o2 73920b2 27720c2 46200m2 |
Quadratic twists by: -4 8 -3 5 |