Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
4150k |
Isogeny class |
Conductor |
4150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-20750000 = -1 · 24 · 56 · 83 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -5 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-163,817] |
[a1,a2,a3,a4,a6] |
Generators |
[12:19:1] |
Generators of the group modulo torsion |
j |
-30664297/1328 |
j-invariant |
L |
5.7604704524159 |
L(r)(E,1)/r! |
Ω |
2.1377557922597 |
Real period |
R |
0.33682930910965 |
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 |
33200v1 37350i1 166a1 |
Quadratic twists by: -4 -3 5 |