Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200q |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-5360000000 = -1 · 210 · 57 · 67 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 6 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,6863] |
[a1,a2,a3,a4,a6] |
j |
-1755904/335 |
j-invariant |
L |
2.6060520619476 |
L(r)(E,1)/r! |
Ω |
1.3030261958221 |
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 |
107200bw1 6700b1 21440j1 |
Quadratic twists by: -4 8 5 |