Atkin-Lehner |
2- 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120n |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-35342794800 = -1 · 24 · 39 · 52 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-378,9477] |
[a1,a2,a3,a4,a6] |
j |
-18966528/112225 |
j-invariant |
L |
4.0075989580135 |
L(r)(E,1)/r! |
Ω |
1.0018997395033 |
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 |
48240c1 24120a1 120600d1 |
Quadratic twists by: -4 -3 5 |