Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066ca |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
244608 |
Modular degree for the optimal curve |
Δ |
-191019388944384 = -1 · 214 · 32 · 77 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-921,-665433] |
[a1,a2,a3,a4,a6] |
Generators |
[103:536:1] |
Generators of the group modulo torsion |
j |
-714079727449/1578672635904 |
j-invariant |
L |
7.5686626835868 |
L(r)(E,1)/r! |
Ω |
0.25673346031197 |
Real period |
R |
0.15041134835781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66066g1 |
Quadratic twists by: -11 |