Atkin-Lehner |
2+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33712f |
Isogeny class |
Conductor |
33712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-3109487540992 = -1 · 28 · 710 · 43 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -1 -3 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327,-84701] |
[a1,a2,a3,a4,a6] |
j |
128000/103243 |
j-invariant |
L |
0.74547363696404 |
L(r)(E,1)/r! |
Ω |
0.37273681848383 |
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 |
16856f1 4816a1 |
Quadratic twists by: -4 -7 |