Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83300i |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
583100000000 = 28 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15575,-747250] |
[a1,a2,a3,a4,a6] |
Generators |
[155:750:1] |
Generators of the group modulo torsion |
j |
304546608/425 |
j-invariant |
L |
5.3511858939733 |
L(r)(E,1)/r! |
Ω |
0.42739450773794 |
Real period |
R |
2.0867472554078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962295 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16660c2 83300v2 |
Quadratic twists by: 5 -7 |