Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320s |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
231938560000 = 212 · 54 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2932,-56544] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:60:1] |
Generators of the group modulo torsion |
j |
680543142336/56625625 |
j-invariant |
L |
4.3540504570078 |
L(r)(E,1)/r! |
Ω |
0.6522302195527 |
Real period |
R |
1.6689085875937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977243 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96320v2 48160g1 |
Quadratic twists by: -4 8 |