Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
43610t |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
1395520 = 26 · 5 · 72 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-141,-701] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] |
Generators of the group modulo torsion |
j |
6329617441/28480 |
j-invariant |
L |
6.2218371721586 |
L(r)(E,1)/r! |
Ω |
1.3857864701961 |
Real period |
R |
0.74829195141394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43610y1 |
Quadratic twists by: -7 |