Atkin-Lehner |
2- 71- |
Signs for the Atkin-Lehner involutions |
Class |
4544p |
Isogeny class |
Conductor |
4544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
37224448 = 219 · 71 |
Discriminant |
Eigenvalues |
2- -1 2 1 -2 3 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-97,257] |
[a1,a2,a3,a4,a6] |
Generators |
[13:32:1] |
Generators of the group modulo torsion |
j |
389017/142 |
j-invariant |
L |
3.5373987186015 |
L(r)(E,1)/r! |
Ω |
1.8801446810047 |
Real period |
R |
0.47036256761782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4544b1 1136e1 40896bq1 113600ci1 |
Quadratic twists by: -4 8 -3 5 |