Atkin-Lehner |
7+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
66101a |
Isogeny class |
Conductor |
66101 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
257736 |
Modular degree for the optimal curve |
Δ |
-229965379 = -1 · 74 · 19 · 712 |
Discriminant |
Eigenvalues |
0 -2 -1 7+ -4 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-740161,-245343556] |
[a1,a2,a3,a4,a6] |
Generators |
[1054:12105:1] |
Generators of the group modulo torsion |
j |
-18677155404227805184/95779 |
j-invariant |
L |
2.5466665276571 |
L(r)(E,1)/r! |
Ω |
0.08138379933284 |
Real period |
R |
5.2153429168343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66101g1 |
Quadratic twists by: -7 |