Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096dj |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-9973234018234368 = -1 · 212 · 35 · 77 · 233 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 5 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75525,-9347661] |
[a1,a2,a3,a4,a6] |
Generators |
[534:10143:1] |
Generators of the group modulo torsion |
j |
-98867482624/20696067 |
j-invariant |
L |
6.045324185306 |
L(r)(E,1)/r! |
Ω |
0.1423959384042 |
Real period |
R |
0.70757216965927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3381c1 7728n1 |
Quadratic twists by: -4 -7 |