Atkin-Lehner |
2+ 7- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16898d |
Isogeny class |
Conductor |
16898 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
99067366584578 = 2 · 76 · 174 · 712 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -4 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51705,4478411] |
[a1,a2,a3,a4,a6] |
Generators |
[1997:87716:1] |
Generators of the group modulo torsion |
j |
15287429372480889625/99067366584578 |
j-invariant |
L |
5.3964634357623 |
L(r)(E,1)/r! |
Ω |
0.6019749860656 |
Real period |
R |
0.74704978898329 |
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 |
118286c2 |
Quadratic twists by: -7 |