Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bm |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-145359318859776 = -1 · 214 · 34 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 5 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12920,-134672] |
[a1,a2,a3,a4,a6] |
j |
10100279/6156 |
j-invariant |
L |
2.6893877011575 |
L(r)(E,1)/r! |
Ω |
0.33617346264655 |
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 |
5586o1 44688dh1 |
Quadratic twists by: -4 -7 |