Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290bk |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-24309860843772000 = -1 · 25 · 321 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-340299,-76690395] |
[a1,a2,a3,a4,a6] |
j |
-5978316732522887089/33346859868000 |
j-invariant |
L |
1.1856069553865 |
L(r)(E,1)/r! |
Ω |
0.098800579668327 |
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 |
17430bh1 |
Quadratic twists by: -3 |