Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960ep |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-59854168719360 = -1 · 216 · 37 · 5 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8052,-247408] |
[a1,a2,a3,a4,a6] |
j |
1208446844/1252815 |
j-invariant |
L |
2.7097804102027 |
L(r)(E,1)/r! |
Ω |
0.33872255132299 |
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 |
48960bw3 12240t4 16320by4 |
Quadratic twists by: -4 8 -3 |