Atkin-Lehner |
3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019o |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2.7095116374813E+22 |
Discriminant |
Eigenvalues |
0 3- 0 7+ -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2216717,-7816323329] |
[a1,a2,a3,a4,a6] |
Generators |
[13786:268199:8] [8441:782554:1] |
Generators of the group modulo torsion |
j |
249571022336000000/5613463548032067 |
j-invariant |
L |
10.895138041708 |
L(r)(E,1)/r! |
Ω |
0.057533976440137 |
Real period |
R |
7.8903651914508 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8463l2 |
Quadratic twists by: 13 |