Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200ck |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-285403500000000 = -1 · 28 · 39 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -1 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,812500] |
[a1,a2,a3,a4,a6] |
Generators |
[500:11250:1] |
Generators of the group modulo torsion |
j |
1024/783 |
j-invariant |
L |
7.2786897165567 |
L(r)(E,1)/r! |
Ω |
0.42775492175873 |
Real period |
R |
2.1270034973106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400ch1 17400q1 52200be1 |
Quadratic twists by: -4 -3 5 |