Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680b |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.5846164328287E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-497121,-234102175] |
[a1,a2,a3,a4,a6] |
Generators |
[369075:43089920:27] |
Generators of the group modulo torsion |
j |
-8990558521/10485760 |
j-invariant |
L |
6.2293884457402 |
L(r)(E,1)/r! |
Ω |
0.0860280087833 |
Real period |
R |
6.0342638537561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680ca2 490c2 78400m2 15680bx2 |
Quadratic twists by: -4 8 5 -7 |