Atkin-Lehner |
2- 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040z |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-121642798414233600 = -1 · 216 · 35 · 52 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56104,15963120] |
[a1,a2,a3,a4,a6] |
j |
4768013769464231/29697948831600 |
j-invariant |
L |
0.9592261117391 |
L(r)(E,1)/r! |
Ω |
0.2398065036277 |
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 |
11130l1 |
Quadratic twists by: -4 |