Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7140p |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-2867602500000000 = -1 · 28 · 34 · 510 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3460,2576388] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:1050:1] |
Generators of the group modulo torsion |
j |
17889018719024/11201572265625 |
j-invariant |
L |
5.2743007897006 |
L(r)(E,1)/r! |
Ω |
0.35249484882705 |
Real period |
R |
0.12468978405526 |
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 |
28560cr2 114240y2 21420r2 35700i2 |
Quadratic twists by: -4 8 -3 5 |