Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200g |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11299009960000000 = -1 · 29 · 57 · 710 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45325,3515750] |
[a1,a2,a3,a4,a6] |
j |
10941048/12005 |
j-invariant |
L |
1.0717672344915 |
L(r)(E,1)/r! |
Ω |
0.26794180863315 |
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 |
39200bq2 78400t3 7840w4 5600e4 |
Quadratic twists by: -4 8 5 -7 |