Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592bd |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-8.2540989176824E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2985144,-2033712000] |
[a1,a2,a3,a4,a6] |
Generators |
[67863:17673012:1] |
Generators of the group modulo torsion |
j |
-2872895033409792670948/80606434742991927 |
j-invariant |
L |
6.6490178543124 |
L(r)(E,1)/r! |
Ω |
0.057333672269478 |
Real period |
R |
8.2836111472947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107184j1 |
Quadratic twists by: -4 |