Atkin-Lehner |
2- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83776be |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43868160 |
Modular degree for the optimal curve |
Δ |
-3.8942143074918E+26 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11+ 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1160911244,15254202141456] |
[a1,a2,a3,a4,a6] |
Generators |
[6102678:2870124544:27] |
Generators of the group modulo torsion |
j |
-660056090712855266747143737/1485524867054684667904 |
j-invariant |
L |
5.3740201198846 |
L(r)(E,1)/r! |
Ω |
0.053530904925028 |
Real period |
R |
8.3659151729398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83776h1 20944m1 |
Quadratic twists by: -4 8 |