Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450hd |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
22863772800000000 = 213 · 310 · 58 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-447305,-114805303] |
[a1,a2,a3,a4,a6] |
Generators |
[-381:640:1] |
Generators of the group modulo torsion |
j |
287250720625/663552 |
j-invariant |
L |
11.191090019211 |
L(r)(E,1)/r! |
Ω |
0.18463285020978 |
Real period |
R |
0.77708551270809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18150br1 54450ci1 54450dn1 |
Quadratic twists by: -3 5 -11 |