Atkin-Lehner |
2- 3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17622l |
Isogeny class |
Conductor |
17622 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
843903683149824 = 214 · 314 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113711,-14664009] |
[a1,a2,a3,a4,a6] |
j |
223048876338925993/1157618221056 |
j-invariant |
L |
3.6409352385958 |
L(r)(E,1)/r! |
Ω |
0.26006680275684 |
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 |
5874a1 |
Quadratic twists by: -3 |