Atkin-Lehner |
2- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6700j |
Isogeny class |
Conductor |
6700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1548 |
Modular degree for the optimal curve |
Δ |
-10720000 = -1 · 28 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 -6 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200,-1100] |
[a1,a2,a3,a4,a6] |
j |
-5529600/67 |
j-invariant |
L |
1.9029175797697 |
L(r)(E,1)/r! |
Ω |
0.63430585992325 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26800bh1 107200bb1 60300w1 6700a1 |
Quadratic twists by: -4 8 -3 5 |