Atkin-Lehner |
5- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
20615g |
Isogeny class |
Conductor |
20615 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
144305 = 5 · 72 · 19 · 31 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-769627,260069674] |
[a1,a2,a3,a4,a6] |
Generators |
[110058:-31727:216] |
Generators of the group modulo torsion |
j |
50415498834476581917441/144305 |
j-invariant |
L |
3.1449835702201 |
L(r)(E,1)/r! |
Ω |
1.0362778297098 |
Real period |
R |
6.0697690909797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103075l4 |
Quadratic twists by: 5 |