Atkin-Lehner |
2- 7+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568v |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
196992 |
Modular degree for the optimal curve |
Δ |
1600212992 = 212 · 73 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 3 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9045,-328099] |
[a1,a2,a3,a4,a6] |
Generators |
[12790095892:184517025435:51064811] |
Generators of the group modulo torsion |
j |
19981932691456/390677 |
j-invariant |
L |
8.5929413460467 |
L(r)(E,1)/r! |
Ω |
0.48954646646471 |
Real period |
R |
17.552861497891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973h1 |
Quadratic twists by: -4 |