Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gd |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
4181760 |
Modular degree for the optimal curve |
Δ |
-1.11741493248E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2134792,-1069466412] |
[a1,a2,a3,a4,a6] |
Generators |
[772:32238:1] |
Generators of the group modulo torsion |
j |
26898633480575/27935373312 |
j-invariant |
L |
7.4881037259632 |
L(r)(E,1)/r! |
Ω |
0.083918641650548 |
Real period |
R |
4.0559325592955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550j1 92400fk1 |
Quadratic twists by: -4 5 |