Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408cu |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
96398595072 = 210 · 34 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3205,69301] |
[a1,a2,a3,a4,a6] |
Generators |
[21:104:1] [-44:351:1] |
Generators of the group modulo torsion |
j |
3556668227584/94139253 |
j-invariant |
L |
5.5837301073011 |
L(r)(E,1)/r! |
Ω |
1.0640184236568 |
Real period |
R |
0.87462929575249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bp1 14352bc1 |
Quadratic twists by: -4 8 |