Atkin-Lehner |
2+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6650j |
Isogeny class |
Conductor |
6650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
125178536000 = 26 · 53 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1629916,800796378] |
[a1,a2,a3,a4,a6] |
j |
3830972064521089212269/1001428288 |
j-invariant |
L |
0.61612320823087 |
L(r)(E,1)/r! |
Ω |
0.61612320823087 |
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 |
53200ec1 59850fw1 6650bf1 46550bo1 |
Quadratic twists by: -4 -3 5 -7 |