Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21312ch |
Isogeny class |
Conductor |
21312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.2747142168531E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172188660,869640615488] |
[a1,a2,a3,a4,a6] |
j |
189081863882008469848000/7617971887502013 |
j-invariant |
L |
0.22588717245034 |
L(r)(E,1)/r! |
Ω |
0.11294358622517 |
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 |
21312ce2 10656p1 7104s2 |
Quadratic twists by: -4 8 -3 |