Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576cz |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.593301647408E+19 |
Discriminant |
Eigenvalues |
2- -2 2 7- -2 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2272097,-1304914913] |
[a1,a2,a3,a4,a6] |
j |
42060685455433/516618368 |
j-invariant |
L |
0.49223922161109 |
L(r)(E,1)/r! |
Ω |
0.12305957132059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576bp2 32144bb2 18368r2 |
Quadratic twists by: -4 8 -7 |