Atkin-Lehner |
2+ 3- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150bc |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
36091818000000000 = 210 · 35 · 59 · 7 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-83276,1410698] |
[a1,a2,a3,a4,a6] |
j |
4087481112712369/2309876352000 |
j-invariant |
L |
3.1550817160209 |
L(r)(E,1)/r! |
Ω |
0.31550824820343 |
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 |
21630o1 |
Quadratic twists by: 5 |