Atkin-Lehner |
2- 3- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
33768r |
Isogeny class |
Conductor |
33768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
268050384 = 24 · 36 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 4 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32814,-2287899] |
[a1,a2,a3,a4,a6] |
j |
335006877100032/22981 |
j-invariant |
L |
0.70943850898579 |
L(r)(E,1)/r! |
Ω |
0.35471925449593 |
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 |
67536w1 3752b1 |
Quadratic twists by: -4 -3 |