Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38304c |
Isogeny class |
Conductor |
38304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
1608768 = 26 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33,-40] |
[a1,a2,a3,a4,a6] |
j |
2299968/931 |
j-invariant |
L |
4.126737423487 |
L(r)(E,1)/r! |
Ω |
2.0633687117622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38304e1 76608cz1 38304bc1 |
Quadratic twists by: -4 8 -3 |