Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722cd |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-64687295593122048 = -1 · 28 · 37 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,33192,-12021696] |
[a1,a2,a3,a4,a6] |
Generators |
[333:-6156:1] |
Generators of the group modulo torsion |
j |
48013/768 |
j-invariant |
L |
4.1441345629805 |
L(r)(E,1)/r! |
Ω |
0.17034850255479 |
Real period |
R |
1.5204619192194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999635411 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574cs1 106722bj1 106722fy1 |
Quadratic twists by: -3 -7 -11 |