Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408cd |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
122407847460864 = 218 · 34 · 78 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12609,-112671] |
[a1,a2,a3,a4,a6] |
Generators |
[135:792:1] |
Generators of the group modulo torsion |
j |
7189057/3969 |
j-invariant |
L |
3.3139146964707 |
L(r)(E,1)/r! |
Ω |
0.48226265395982 |
Real period |
R |
3.4357985936298 |
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 |
9408bj2 2352v2 28224fw2 1344r2 |
Quadratic twists by: -4 8 -3 -7 |