Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475bd |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
433152 |
Modular degree for the optimal curve |
Δ |
-1065376034296875 = -1 · 37 · 57 · 76 · 53 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -2 -4 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,23325,-765594] |
[a1,a2,a3,a4,a6] |
Generators |
[290:5512:1] |
Generators of the group modulo torsion |
j |
123208626176/93530955 |
j-invariant |
L |
3.0855683097225 |
L(r)(E,1)/r! |
Ω |
0.27439442108546 |
Real period |
R |
0.23427106433798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27825r1 16695p1 |
Quadratic twists by: -3 5 |