Atkin-Lehner |
3- 5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69615i |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.6515932625532E+26 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,136670625,-64167187500] |
[a1,a2,a3,a4,a6] |
Generators |
[8879940194501922:-1352461531978517025:895283882072] |
Generators of the group modulo torsion |
j |
387277016050041637886729999/226556003093719482421875 |
j-invariant |
L |
6.9681126717206 |
L(r)(E,1)/r! |
Ω |
0.033799886386455 |
Real period |
R |
25.769734075608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205m5 |
Quadratic twists by: -3 |