Atkin-Lehner |
2- 3- 7+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838t |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
7660800 |
Modular degree for the optimal curve |
Δ |
-1596652751683584 = -1 · 219 · 39 · 7 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -2 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118802381,-498379245451] |
[a1,a2,a3,a4,a6] |
Generators |
[214191:98891032:1] |
Generators of the group modulo torsion |
j |
-254373352954772615078932873/2190195818496 |
j-invariant |
L |
12.049743235375 |
L(r)(E,1)/r! |
Ω |
0.022864582363539 |
Real period |
R |
6.9342728648532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29946h1 |
Quadratic twists by: -3 |