Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712bq |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-325757845504 = -1 · 214 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 2 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9308,-346736] |
[a1,a2,a3,a4,a6] |
j |
-32209663824/117649 |
j-invariant |
L |
1.9437951556556 |
L(r)(E,1)/r! |
Ω |
0.24297439333076 |
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 |
75712x1 18928i1 75712ck1 |
Quadratic twists by: -4 8 13 |