Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584r |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-1.1154567818233E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 1 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,201069,-506954926] |
[a1,a2,a3,a4,a6] |
j |
8128966878211509/1008623392129024 |
j-invariant |
L |
2.4853539294336 |
L(r)(E,1)/r! |
Ω |
0.088762641012308 |
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 |
9198a1 73584p1 |
Quadratic twists by: -4 -3 |