Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35550bk |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
29155443750000 = 24 · 310 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3071520005,-65519872870003] |
[a1,a2,a3,a4,a6] |
Generators |
[-546784495527941130926565:273383330777641461275626:17088484076760190375] |
Generators of the group modulo torsion |
j |
281343057218179728015052801/2559600 |
j-invariant |
L |
9.4832917532905 |
L(r)(E,1)/r! |
Ω |
0.02027968559377 |
Real period |
R |
29.226574141895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11850l4 7110e3 |
Quadratic twists by: -3 5 |