Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640a |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-316680030000 = -1 · 24 · 35 · 54 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 4 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4091,105666] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:400:1] |
Generators of the group modulo torsion |
j |
-3632318464/151875 |
j-invariant |
L |
5.1368822003858 |
L(r)(E,1)/r! |
Ω |
0.95842038378701 |
Real period |
R |
2.6798690279698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320ba1 86640s1 |
Quadratic twists by: -4 -19 |