Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3255f |
Isogeny class |
Conductor |
3255 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
116810150625 = 34 · 54 · 74 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12660,546975] |
[a1,a2,a3,a4,a6] |
j |
224402129131602241/116810150625 |
j-invariant |
L |
2.0728292615953 |
L(r)(E,1)/r! |
Ω |
1.0364146307977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
52080bi2 9765i2 16275b2 22785c2 |
Quadratic twists by: -4 -3 5 -7 |