Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584p |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5031936 |
Modular degree for the optimal curve |
Δ |
-8.1316799394921E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 1 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1809621,13687783002] |
[a1,a2,a3,a4,a6] |
j |
8128966878211509/1008623392129024 |
j-invariant |
L |
2.3294298706599 |
L(r)(E,1)/r! |
Ω |
0.083193923745211 |
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 |
9198f1 73584r1 |
Quadratic twists by: -4 -3 |