Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800bp |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-39015000000 = -1 · 26 · 33 · 57 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,842,1688] |
[a1,a2,a3,a4,a6] |
Generators |
[38:300:1] |
Generators of the group modulo torsion |
j |
65939264/39015 |
j-invariant |
L |
8.0438132281394 |
L(r)(E,1)/r! |
Ω |
0.70088147220448 |
Real period |
R |
0.95639247946303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800bh1 81600fn1 122400bf1 8160b1 |
Quadratic twists by: -4 8 -3 5 |