Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ef |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-8.6294469503615E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29545319,61836728671] |
[a1,a2,a3,a4,a6] |
Generators |
[5063:202442:1] |
Generators of the group modulo torsion |
j |
-34068278205171/10307264 |
j-invariant |
L |
12.769606202235 |
L(r)(E,1)/r! |
Ω |
0.15470579826185 |
Real period |
R |
0.57320295548527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722h1 106722ez1 9702a1 |
Quadratic twists by: -3 -7 -11 |