Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400bd |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2708291250000 = 24 · 32 · 57 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204883,-35763262] |
[a1,a2,a3,a4,a6] |
j |
3804552637966336/10833165 |
j-invariant |
L |
0.8976002264225 |
L(r)(E,1)/r! |
Ω |
0.22440006121962 |
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 |
14280bo1 |
Quadratic twists by: 5 |