Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200cm |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
3221504000 = 214 · 53 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2568,-49168] |
[a1,a2,a3,a4,a6] |
Generators |
[1596:1232:27] |
Generators of the group modulo torsion |
j |
3659383421/6292 |
j-invariant |
L |
10.0419516981 |
L(r)(E,1)/r! |
Ω |
0.67070502539655 |
Real period |
R |
3.7430581693325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7150l1 57200ch1 |
Quadratic twists by: -4 5 |