Atkin-Lehner |
3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8745c |
Isogeny class |
Conductor |
8745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-62570475 = -1 · 34 · 52 · 11 · 532 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11+ -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9,384] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:15:1] [4:20:1] |
Generators of the group modulo torsion |
j |
80062991/62570475 |
j-invariant |
L |
3.0638688816244 |
L(r)(E,1)/r! |
Ω |
1.5352378504208 |
Real period |
R |
0.99784827503672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26235n2 43725m2 96195c2 |
Quadratic twists by: -3 5 -11 |