Atkin-Lehner |
2- 7- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
98686j |
Isogeny class |
Conductor |
98686 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
5096647097524864 = 27 · 78 · 194 · 53 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1770306,907046081] |
[a1,a2,a3,a4,a6] |
Generators |
[681:3775:1] |
Generators of the group modulo torsion |
j |
5215311654415003233/43320785536 |
j-invariant |
L |
8.2489754785179 |
L(r)(E,1)/r! |
Ω |
0.38758425591183 |
Real period |
R |
1.5202179298673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14098f2 |
Quadratic twists by: -7 |