Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
43920n |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-3255130800 = -1 · 24 · 37 · 52 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -6 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42,2743] |
[a1,a2,a3,a4,a6] |
Generators |
[23:126:1] |
Generators of the group modulo torsion |
j |
702464/279075 |
j-invariant |
L |
5.3696444741487 |
L(r)(E,1)/r! |
Ω |
1.0995043246853 |
Real period |
R |
2.4418478188698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21960h1 14640p1 |
Quadratic twists by: -4 -3 |