Atkin-Lehner |
2- 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bd |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-46196809293600000 = -1 · 28 · 33 · 55 · 79 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1110676,-450284324] |
[a1,a2,a3,a4,a6] |
j |
-591897220318314566224/180456286303125 |
j-invariant |
L |
1.8382507089957 |
L(r)(E,1)/r! |
Ω |
0.073530028901722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22260h1 |
Quadratic twists by: -4 |