Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7280q |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
529984000000 = 212 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4723,119922] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:312:1] |
Generators of the group modulo torsion |
j |
2844576388809/129390625 |
j-invariant |
L |
3.7785003953996 |
L(r)(E,1)/r! |
Ω |
0.91576905216429 |
Real period |
R |
2.0630203578455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
455a2 29120cl2 65520ec2 36400bj2 |
Quadratic twists by: -4 8 -3 5 |