Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150br |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1.3882910052832E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -1 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89442,179583966] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:13443:1] |
Generators of the group modulo torsion |
j |
-6947097508441/1218801431250 |
j-invariant |
L |
4.6319903229142 |
L(r)(E,1)/r! |
Ω |
0.18225079040644 |
Real period |
R |
3.1769343239525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050cf1 22230bi1 |
Quadratic twists by: -3 5 |