Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
54450fd |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-970299000000000 = -1 · 29 · 36 · 59 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11+ 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43880,-3831253] |
[a1,a2,a3,a4,a6] |
Generators |
[289:2605:1] |
Generators of the group modulo torsion |
j |
-616295051/64000 |
j-invariant |
L |
10.945074333983 |
L(r)(E,1)/r! |
Ω |
0.16396826873783 |
Real period |
R |
0.92709963015742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050b1 10890k1 54450bk1 |
Quadratic twists by: -3 5 -11 |