Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3360a |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9031680 = -1 · 212 · 32 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,145] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] |
Generators of the group modulo torsion |
j |
-64/2205 |
j-invariant |
L |
2.6524730889469 |
L(r)(E,1)/r! |
Ω |
1.8452326547192 |
Real period |
R |
0.35936838129371 |
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 |
3360j2 6720ch1 10080bv2 16800bv2 |
Quadratic twists by: -4 8 -3 5 |