Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568ck |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-2.6138177737905E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 1 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2145680,-1438959144] |
[a1,a2,a3,a4,a6] |
Generators |
[14434:1724814:1] |
Generators of the group modulo torsion |
j |
-442067613591752/105765793497 |
j-invariant |
L |
8.7434766966037 |
L(r)(E,1)/r! |
Ω |
0.061591117245432 |
Real period |
R |
1.8678950990221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568n1 8736h1 |
Quadratic twists by: -4 13 |