Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
24120w |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3165026400000000 = -1 · 211 · 310 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8853,2687686] |
[a1,a2,a3,a4,a6] |
j |
51396982702/2119921875 |
j-invariant |
L |
2.7176161346866 |
L(r)(E,1)/r! |
Ω |
0.33970201683583 |
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 |
48240x3 8040f4 120600u3 |
Quadratic twists by: -4 -3 5 |