Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
45450bn |
Isogeny class |
Conductor |
45450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-139622400000000000 = -1 · 220 · 33 · 511 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 0 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,104245,12438747] |
[a1,a2,a3,a4,a6] |
Generators |
[539:14730:1] |
Generators of the group modulo torsion |
j |
296967914223813/330956800000 |
j-invariant |
L |
9.0234118094668 |
L(r)(E,1)/r! |
Ω |
0.21756626374137 |
Real period |
R |
0.25921447029165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45450b1 9090a1 |
Quadratic twists by: -3 5 |