Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480be |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-19828800000 = -1 · 29 · 36 · 55 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 5 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,573,-4246] |
[a1,a2,a3,a4,a6] |
j |
55742968/53125 |
j-invariant |
L |
3.324657958742 |
L(r)(E,1)/r! |
Ω |
0.66493159174837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24480n1 48960bj1 2720b1 122400bh1 |
Quadratic twists by: -4 8 -3 5 |