Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408h |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3595793596416 = -1 · 225 · 37 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- -5 0 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9025,345409] |
[a1,a2,a3,a4,a6] |
j |
-6329617441/279936 |
j-invariant |
L |
1.564166087686 |
L(r)(E,1)/r! |
Ω |
0.78208304384299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9408ct2 294b2 28224bs2 9408v2 |
Quadratic twists by: -4 8 -3 -7 |