Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3654k |
Isogeny class |
Conductor |
3654 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-9.5402848402462E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -3 -1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1514169,1301195965] |
[a1,a2,a3,a4,a6] |
Generators |
[4643:326930:1] |
Generators of the group modulo torsion |
j |
526646344431378309263/1308681048044740608 |
j-invariant |
L |
2.8219193165814 |
L(r)(E,1)/r! |
Ω |
0.1095106820191 |
Real period |
R |
0.92030138865785 |
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 |
29232bv1 116928bb1 1218d1 91350ex1 |
Quadratic twists by: -4 8 -3 5 |