Atkin-Lehner |
2- 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610cg |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-164086069923272250 = -1 · 2 · 32 · 53 · 1310 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,113649,-12732669] |
[a1,a2,a3,a4,a6] |
Generators |
[19823111310:1574374834149:3112136] |
Generators of the group modulo torsion |
j |
1177570199/1190250 |
j-invariant |
L |
11.675889223201 |
L(r)(E,1)/r! |
Ω |
0.17547159140629 |
Real period |
R |
16.635013579159 |
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 |
116610bf1 |
Quadratic twists by: 13 |