Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298w |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.5115944813627E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-827118,221202900] |
[a1,a2,a3,a4,a6] |
Generators |
[10101:1006086:1] |
Generators of the group modulo torsion |
j |
48455467135993/11704467456 |
j-invariant |
L |
2.3905738042009 |
L(r)(E,1)/r! |
Ω |
0.20798478028116 |
Real period |
R |
5.7469921784918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999713818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766bt1 8118s1 |
Quadratic twists by: -3 -11 |