Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322a |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-9462083169796292 = -1 · 22 · 78 · 177 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 1 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64020,-7801146] |
[a1,a2,a3,a4,a6] |
Generators |
[170793:3055149:343] |
Generators of the group modulo torsion |
j |
-208537/68 |
j-invariant |
L |
5.9191272561622 |
L(r)(E,1)/r! |
Ω |
0.14762081139943 |
Real period |
R |
10.024208646547 |
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 |
28322e1 1666a1 |
Quadratic twists by: -7 17 |