Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800bu |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1075554900000000 = 28 · 32 · 58 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29266508,60930529488] |
[a1,a2,a3,a4,a6] |
Generators |
[84846:-50750:27] |
Generators of the group modulo torsion |
j |
693068970969527826256/268888725 |
j-invariant |
L |
9.4639546858704 |
L(r)(E,1)/r! |
Ω |
0.29522732835719 |
Real period |
R |
0.66784374280783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999327001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360f2 |
Quadratic twists by: 5 |