Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200n |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-3007630000000000 = -1 · 210 · 510 · 673 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 2 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95000,-11575000] |
[a1,a2,a3,a4,a6] |
j |
-9481881600/300763 |
j-invariant |
L |
0.81429031286145 |
L(r)(E,1)/r! |
Ω |
0.13571511745767 |
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 |
107200bp1 13400l1 107200z1 |
Quadratic twists by: -4 8 5 |