Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86100bo |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
596160 |
Modular degree for the optimal curve |
Δ |
-2627056293750000 = -1 · 24 · 36 · 58 · 73 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15542,2355713] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:861:1] |
Generators of the group modulo torsion |
j |
66425749760/420329007 |
j-invariant |
L |
9.5014472990038 |
L(r)(E,1)/r! |
Ω |
0.33028238849429 |
Real period |
R |
0.79910131560903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017835 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
86100d1 |
Quadratic twists by: 5 |