Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560a |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
174325760 = 218 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-908,-10512] |
[a1,a2,a3,a4,a6] |
Generators |
[9270:71808:125] |
Generators of the group modulo torsion |
j |
315821241/665 |
j-invariant |
L |
4.9200309709148 |
L(r)(E,1)/r! |
Ω |
0.86982729860507 |
Real period |
R |
5.6563308357914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560co1 665b1 |
Quadratic twists by: -4 8 |