Atkin-Lehner |
3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
40071a |
Isogeny class |
Conductor |
40071 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
565440 |
Modular degree for the optimal curve |
Δ |
-322042645071139779 = -1 · 36 · 199 · 372 |
Discriminant |
Eigenvalues |
0 3+ -1 -5 5 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,32009,-27224832] |
[a1,a2,a3,a4,a6] |
j |
11239424/998001 |
j-invariant |
L |
1.1602848876935 |
L(r)(E,1)/r! |
Ω |
0.14503561095069 |
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 |
120213g1 40071c1 |
Quadratic twists by: -3 -19 |