Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775cp |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
44807724609375 = 3 · 510 · 76 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159250026,773499306073] |
[a1,a2,a3,a4,a6] |
j |
242970740812818720001/24375 |
j-invariant |
L |
3.9867381697101 |
L(r)(E,1)/r! |
Ω |
0.24917113559875 |
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 975a7 |
Quadratic twists by: 5 -7 |