Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800bs |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
75866112000 = 216 · 33 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7020,-226000] |
[a1,a2,a3,a4,a6] |
j |
172974204/343 |
j-invariant |
L |
2.0865411772202 |
L(r)(E,1)/r! |
Ω |
0.52163534755686 |
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 |
100800kq1 12600h1 100800bu1 100800ck1 |
Quadratic twists by: -4 8 -3 5 |