Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408cf |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-1320564031488 = -1 · 222 · 34 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 6 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9953,389505] |
[a1,a2,a3,a4,a6] |
Generators |
[13:512:1] |
Generators of the group modulo torsion |
j |
-415996269625/5037552 |
j-invariant |
L |
5.6061334671778 |
L(r)(E,1)/r! |
Ω |
0.86131425590305 |
Real period |
R |
1.6272032620174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408y1 14352bi1 |
Quadratic twists by: -4 8 |