Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380m |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-3.2109709787101E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,153205740,-458889737400] |
[a1,a2,a3,a4,a6] |
Generators |
[136070:50395550:1] |
Generators of the group modulo torsion |
j |
64359894910378156976/51964037412328125 |
j-invariant |
L |
4.7670082332783 |
L(r)(E,1)/r! |
Ω |
0.0301149552444 |
Real period |
R |
8.7940954015074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140j2 |
Quadratic twists by: 17 |