Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ff |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-64222710084000 = -1 · 25 · 36 · 53 · 132 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3280,377907] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-739:1] |
Generators of the group modulo torsion |
j |
42838260499/704775968 |
j-invariant |
L |
9.6546371225623 |
L(r)(E,1)/r! |
Ω |
0.46181108621619 |
Real period |
R |
1.045301574687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350k2 111150cd2 |
Quadratic twists by: -3 5 |