Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200w |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
616320 |
Modular degree for the optimal curve |
Δ |
-670000000000 = -1 · 210 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -6 -4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-243333,-46282037] |
[a1,a2,a3,a4,a6] |
j |
-159341363200/67 |
j-invariant |
L |
0.85982279733453 |
L(r)(E,1)/r! |
Ω |
0.10747789368932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200cb1 6700c1 107200bf1 |
Quadratic twists by: -4 8 5 |