Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650bf |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
420000 |
Modular degree for the optimal curve |
Δ |
1955914625000000 = 26 · 59 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40747888,100099547281] |
[a1,a2,a3,a4,a6] |
j |
3830972064521089212269/1001428288 |
j-invariant |
L |
5.7863121797018 |
L(r)(E,1)/r! |
Ω |
0.27553867522389 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53200do1 59850dc1 6650j1 46550dj1 |
Quadratic twists by: -4 -3 5 -7 |