Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665bq |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2090549199375 = 37 · 54 · 76 · 13 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57330009,-167064384110] |
[a1,a2,a3,a4,a6] |
j |
242970740812818720001/24375 |
j-invariant |
L |
1.7557150428394 |
L(r)(E,1)/r! |
Ω |
0.054866095088702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555e7 585f7 |
Quadratic twists by: -3 -7 |