Atkin-Lehner |
2- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38896g |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-129445888 = -1 · 212 · 11 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 -4 1 11+ 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-885,-9859] |
[a1,a2,a3,a4,a6] |
Generators |
[3956:248781:1] |
Generators of the group modulo torsion |
j |
-18736316416/31603 |
j-invariant |
L |
6.1301692860404 |
L(r)(E,1)/r! |
Ω |
0.4375714214955 |
Real period |
R |
7.0047642337892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2431b1 |
Quadratic twists by: -4 |