Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800jc |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
967680000000 = 216 · 33 · 57 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2700,26000] |
[a1,a2,a3,a4,a6] |
j |
78732/35 |
j-invariant |
L |
3.1661211380951 |
L(r)(E,1)/r! |
Ω |
0.79153024948854 |
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 |
100800bk1 25200j1 100800jj1 20160cy1 |
Quadratic twists by: -4 8 -3 5 |