Atkin-Lehner |
2- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48416m |
Isogeny class |
Conductor |
48416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
2490615872 = 26 · 173 · 892 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1697,26800] |
[a1,a2,a3,a4,a6] |
j |
8444797988544/38915873 |
j-invariant |
L |
1.4546792871058 |
L(r)(E,1)/r! |
Ω |
1.4546792878081 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48416l1 96832o1 |
Quadratic twists by: -4 8 |