Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960r |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-21415104000000 = -1 · 212 · 39 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2052,225504] |
[a1,a2,a3,a4,a6] |
j |
-11852352/265625 |
j-invariant |
L |
3.4261033588735 |
L(r)(E,1)/r! |
Ω |
0.5710172265357 |
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 |
48960t2 24480a1 48960m2 |
Quadratic twists by: -4 8 -3 |