Atkin-Lehner |
2+ 3- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42024d |
Isogeny class |
Conductor |
42024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-2674995696 = -1 · 24 · 32 · 17 · 1033 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 3 5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88,-2439] |
[a1,a2,a3,a4,a6] |
j |
4657010432/167187231 |
j-invariant |
L |
2.7688538348128 |
L(r)(E,1)/r! |
Ω |
0.69221345870113 |
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 |
84048a1 126072s1 |
Quadratic twists by: -4 -3 |