Atkin-Lehner |
7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
40033c |
Isogeny class |
Conductor |
40033 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1826265427 = -1 · 76 · 192 · 43 |
Discriminant |
Eigenvalues |
0 2 2 7- -5 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,33,-2066] |
[a1,a2,a3,a4,a6] |
j |
32768/15523 |
j-invariant |
L |
2.780739188542 |
L(r)(E,1)/r! |
Ω |
0.6951847971241 |
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 |
817a1 |
Quadratic twists by: -7 |