Atkin-Lehner |
2+ 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8554g |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-75241779711967232 = -1 · 244 · 7 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3 0 7- 0 13- -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,105443,-727675] |
[a1,a2,a3,a4,a6] |
Generators |
[868022648082:-52896296550025:239483061] |
Generators of the group modulo torsion |
j |
129650637464856156375/75241779711967232 |
j-invariant |
L |
5.5060013567432 |
L(r)(E,1)/r! |
Ω |
0.20429645773129 |
Real period |
R |
13.475518415462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68432m1 76986br1 59878o1 111202t1 |
Quadratic twists by: -4 -3 -7 13 |