Atkin-Lehner |
2- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6118h |
Isogeny class |
Conductor |
6118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
45566864 = 24 · 73 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 0 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-139,-599] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-4:1] |
Generators of the group modulo torsion |
j |
297141543217/45566864 |
j-invariant |
L |
6.9560170688516 |
L(r)(E,1)/r! |
Ω |
1.4046954524828 |
Real period |
R |
2.4759876087577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48944z1 55062g1 42826w1 116242i1 |
Quadratic twists by: -4 -3 -7 -19 |