Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11270f |
Isogeny class |
Conductor |
11270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6629521150000000 = 27 · 58 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-764899,257647893] |
[a1,a2,a3,a4,a6] |
Generators |
[457:1609:1] |
Generators of the group modulo torsion |
j |
420676324562824569/56350000000 |
j-invariant |
L |
3.1912644734991 |
L(r)(E,1)/r! |
Ω |
0.40661635818384 |
Real period |
R |
0.98104282122127 |
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 |
90160cw2 101430ee2 56350bm2 1610a2 |
Quadratic twists by: -4 -3 5 -7 |