Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640bk |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
660 |
Product of Tamagawa factors cp |
deg |
5111040 |
Modular degree for the optimal curve |
Δ |
-1.9940399969273E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12755860,-17670658975] |
[a1,a2,a3,a4,a6] |
Generators |
[4880:190575:1] |
Generators of the group modulo torsion |
j |
-66925483042882816/581396484375 |
j-invariant |
L |
9.9386024667232 |
L(r)(E,1)/r! |
Ω |
0.039922431651406 |
Real period |
R |
0.37719367163316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101640cs1 |
Quadratic twists by: -11 |