Atkin-Lehner |
3+ 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583k |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
17999374749489 = 32 · 78 · 192 · 312 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11001,389880] |
[a1,a2,a3,a4,a6] |
Generators |
[734:2867:8] |
Generators of the group modulo torsion |
j |
1251680967433/152992161 |
j-invariant |
L |
5.3798788371937 |
L(r)(E,1)/r! |
Ω |
0.66639237145283 |
Real period |
R |
4.0365699490602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914771 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12369j2 |
Quadratic twists by: -7 |