Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408q |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
624529833984 = 216 · 34 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4769,122529] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:392:1] [-16:441:1] |
Generators of the group modulo torsion |
j |
1556068/81 |
j-invariant |
L |
4.6728024550836 |
L(r)(E,1)/r! |
Ω |
0.90107146676305 |
Real period |
R |
2.5929144509875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9408cz3 1176i4 28224by3 192c3 |
Quadratic twists by: -4 8 -3 -7 |