Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584be |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8064000 |
Modular degree for the optimal curve |
Δ |
-4.37214942677E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3137907,10285161010] |
[a1,a2,a3,a4,a6] |
j |
-1144343586227588209/14642239967695872 |
j-invariant |
L |
1.9341491241177 |
L(r)(E,1)/r! |
Ω |
0.096707456468929 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9198b1 24528v1 |
Quadratic twists by: -4 -3 |