Atkin-Lehner |
2+ 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256d |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-6375427688448 = -1 · 211 · 35 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 2 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34328,2462544] |
[a1,a2,a3,a4,a6] |
j |
-2184499329043250/3113001801 |
j-invariant |
L |
1.5028681947102 |
L(r)(E,1)/r! |
Ω |
0.75143409721625 |
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 |
37128l1 |
Quadratic twists by: -4 |