Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7280q |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
102362624000 = 212 · 53 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74723,7861922] |
[a1,a2,a3,a4,a6] |
Generators |
[1679:67938:1] |
Generators of the group modulo torsion |
j |
11264882429818809/24990875 |
j-invariant |
L |
3.7785003953996 |
L(r)(E,1)/r! |
Ω |
0.91576905216429 |
Real period |
R |
4.126040715691 |
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 |
455a3 29120cl4 65520ec4 36400bj4 |
Quadratic twists by: -4 8 -3 5 |