Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504l |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6435656976384 = -1 · 211 · 316 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,928,-121260] |
[a1,a2,a3,a4,a6] |
Generators |
[70:540:1] |
Generators of the group modulo torsion |
j |
43109165374/3142410633 |
j-invariant |
L |
4.424194541586 |
L(r)(E,1)/r! |
Ω |
0.3581991301385 |
Real period |
R |
0.77195095013829 |
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 |
1752g4 14016bp4 10512j4 87600b3 |
Quadratic twists by: -4 8 -3 5 |