Atkin-Lehner |
2+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
328b |
Isogeny class |
Conductor |
328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1721344 = -1 · 210 · 412 |
Discriminant |
Eigenvalues |
2+ 2 2 -2 2 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8,60] |
[a1,a2,a3,a4,a6] |
j |
48668/1681 |
j-invariant |
L |
2.0037539551538 |
L(r)(E,1)/r! |
Ω |
2.0037539551538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
656b2 2624c2 2952f2 8200k2 |
Quadratic twists by: -4 8 -3 5 |