Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536be |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-38753461620301824 = -1 · 213 · 38 · 117 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11+ -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23944,9570164] |
[a1,a2,a3,a4,a6] |
j |
-370656835366537/9461294340894 |
j-invariant |
L |
4.8789800688867 |
L(r)(E,1)/r! |
Ω |
0.30493625430542 |
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 |
2442d1 78144ci1 58608bs1 |
Quadratic twists by: -4 8 -3 |