Atkin-Lehner |
2+ 5- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450t |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-264753125000 = -1 · 23 · 58 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 0 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1718951,-867590702] |
[a1,a2,a3,a4,a6] |
Generators |
[112559245734482940:44617298069978902631:714516984000] |
Generators of the group modulo torsion |
j |
-1437983176699382665/677768 |
j-invariant |
L |
5.9666755139629 |
L(r)(E,1)/r! |
Ω |
0.065925542916512 |
Real period |
R |
30.168759330604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450ba2 |
Quadratic twists by: 5 |