Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600q |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19982181600000000 = 211 · 312 · 58 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-441075,112544750] |
[a1,a2,a3,a4,a6] |
Generators |
[1970:83000:1] |
Generators of the group modulo torsion |
j |
406802425682/856575 |
j-invariant |
L |
7.9201544256913 |
L(r)(E,1)/r! |
Ω |
0.38538939646717 |
Real period |
R |
5.1377609876829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28200s2 16920m2 |
Quadratic twists by: -3 5 |