Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320r |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1537014160424960000 = 221 · 54 · 73 · 434 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-998252,379229104] |
[a1,a2,a3,a4,a6] |
Generators |
[27078:4452800:1] |
Generators of the group modulo torsion |
j |
419666552369006769/5863243715000 |
j-invariant |
L |
6.4476244948576 |
L(r)(E,1)/r! |
Ω |
0.26869112187656 |
Real period |
R |
5.9991045116092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013868 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96320bw4 3010e3 |
Quadratic twists by: -4 8 |