Atkin-Lehner |
2+ 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
24648j |
Isogeny class |
Conductor |
24648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
11683152 = 24 · 32 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -6 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83,-270] |
[a1,a2,a3,a4,a6] |
j |
4000000000/730197 |
j-invariant |
L |
3.2000176855149 |
L(r)(E,1)/r! |
Ω |
1.6000088427575 |
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 |
49296e1 73944bb1 |
Quadratic twists by: -4 -3 |