Atkin-Lehner |
3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
3255d |
Isogeny class |
Conductor |
3255 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
766391398250625 = 312 · 54 · 74 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23730,443550] |
[a1,a2,a3,a4,a6] |
Generators |
[-102:1398:1] |
Generators of the group modulo torsion |
j |
1477808195227045921/766391398250625 |
j-invariant |
L |
1.9473486085038 |
L(r)(E,1)/r! |
Ω |
0.44441389059059 |
Real period |
R |
2.190917801777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52080cf4 9765e3 16275t3 22785o4 |
Quadratic twists by: -4 -3 5 -7 |