Atkin-Lehner |
2- 3- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22386bb |
Isogeny class |
Conductor |
22386 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
Δ |
-1.6157901081011E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2719700197,-54592309294591] |
[a1,a2,a3,a4,a6] |
Generators |
[91490:21457607:1] |
Generators of the group modulo torsion |
j |
-2224778660867235879101476628566993/16157901081011429376 |
j-invariant |
L |
8.5273077068434 |
L(r)(E,1)/r! |
Ω |
0.010452960296859 |
Real period |
R |
3.4862359457763 |
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 |
67158y2 |
Quadratic twists by: -3 |