Atkin-Lehner |
2- 3+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576s |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
3774033649078272 = 212 · 38 · 192 · 733 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121464,16063920] |
[a1,a2,a3,a4,a6] |
Generators |
[18:3726:1] |
Generators of the group modulo torsion |
j |
48384925503006457/921394933857 |
j-invariant |
L |
5.0421113941283 |
L(r)(E,1)/r! |
Ω |
0.44230139731466 |
Real period |
R |
2.8499296096448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161d1 |
Quadratic twists by: -4 |