Atkin-Lehner |
3- 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37323k |
Isogeny class |
Conductor |
37323 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3509452732742448921 = 310 · 114 · 136 · 292 |
Discriminant |
Eigenvalues |
-1 3- 2 4 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-810284,266080398] |
[a1,a2,a3,a4,a6] |
j |
80706306304693752697/4814064105270849 |
j-invariant |
L |
2.9530603516071 |
L(r)(E,1)/r! |
Ω |
0.24608836263372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12441b2 |
Quadratic twists by: -3 |