Atkin-Lehner |
2+ 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
72922a |
Isogeny class |
Conductor |
72922 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3040000 |
Modular degree for the optimal curve |
Δ |
-6.7158022457299E+19 |
Discriminant |
Eigenvalues |
2+ 1 -2 1 6 -5 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2701732,-1754383664] |
[a1,a2,a3,a4,a6] |
Generators |
[700823064827886:25615255378518608:264980408967] |
Generators of the group modulo torsion |
j |
-6758773188643/208120802 |
j-invariant |
L |
5.0090507471035 |
L(r)(E,1)/r! |
Ω |
0.058772183095438 |
Real period |
R |
21.307064342708 |
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 |
72922c1 |
Quadratic twists by: -19 |