Atkin-Lehner |
2- 3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040bh |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-110333604003840000 = -1 · 220 · 33 · 54 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-731256,-240973200] |
[a1,a2,a3,a4,a6] |
j |
-10557781885461775609/26936915040000 |
j-invariant |
L |
0.97941556870189 |
L(r)(E,1)/r! |
Ω |
0.081617967025984 |
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 |
11130j1 |
Quadratic twists by: -4 |