Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
52332f |
Isogeny class |
Conductor |
52332 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
164113152 = 28 · 3 · 74 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 1 -6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1388,-20364] |
[a1,a2,a3,a4,a6] |
Generators |
[51:210:1] |
Generators of the group modulo torsion |
j |
481474000/267 |
j-invariant |
L |
7.0183300169403 |
L(r)(E,1)/r! |
Ω |
0.78215094111789 |
Real period |
R |
2.9910381947795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52332c1 |
Quadratic twists by: -7 |