Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
83664ca |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
9.6885498422441E+26 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-429740499,3084604122962] |
[a1,a2,a3,a4,a6] |
j |
2939375616571000533091537/324467573913459623367 |
j-invariant |
L |
3.8366937676546 |
L(r)(E,1)/r! |
Ω |
0.047958671814654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5229b2 27888bc2 |
Quadratic twists by: -4 -3 |