Atkin-Lehner |
2- 3- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17802u |
Isogeny class |
Conductor |
17802 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-51650571269376 = -1 · 28 · 36 · 235 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 2 5 -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,139,345741] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:548:1] |
Generators of the group modulo torsion |
j |
410172407/70851263744 |
j-invariant |
L |
7.5443104854445 |
L(r)(E,1)/r! |
Ω |
0.50064787102734 |
Real period |
R |
0.37672738275924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1978a1 |
Quadratic twists by: -3 |