Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
57760j |
Isogeny class |
Conductor |
57760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
15054681920 = 26 · 5 · 196 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2286,-40900] |
[a1,a2,a3,a4,a6] |
Generators |
[15798:380494:27] |
Generators of the group modulo torsion |
j |
438976/5 |
j-invariant |
L |
7.3559775395495 |
L(r)(E,1)/r! |
Ω |
0.69089751665534 |
Real period |
R |
5.3234939786228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57760e1 115520bf2 160a1 |
Quadratic twists by: -4 8 -19 |