Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408ba |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-70837874688 = -1 · 212 · 3 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327,12711] |
[a1,a2,a3,a4,a6] |
Generators |
[730:7203:8] |
Generators of the group modulo torsion |
j |
8000/147 |
j-invariant |
L |
5.1545206224116 |
L(r)(E,1)/r! |
Ω |
0.81654563275639 |
Real period |
R |
3.1562967307851 |
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 |
9408g2 4704s1 28224bk2 1344c2 |
Quadratic twists by: -4 8 -3 -7 |