Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450bf |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
312935352539062500 = 22 · 38 · 512 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-172692,-6169284] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:1251:1] |
Generators of the group modulo torsion |
j |
50002789171321/27473062500 |
j-invariant |
L |
6.2030876904346 |
L(r)(E,1)/r! |
Ω |
0.25040312541533 |
Real period |
R |
3.096550642844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030041 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33150cg2 19890t2 |
Quadratic twists by: -3 5 |