Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536a |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
8431112448 = 28 · 37 · 11 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8068,-276224] |
[a1,a2,a3,a4,a6] |
j |
226900390642000/32934033 |
j-invariant |
L |
2.0149643674372 |
L(r)(E,1)/r! |
Ω |
0.50374109185931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768q1 78144cx1 58608k1 |
Quadratic twists by: -4 8 -3 |