Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480bj |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2252800 |
Modular degree for the optimal curve |
Δ |
-3.8228211472201E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9653583,11582916082] |
[a1,a2,a3,a4,a6] |
Generators |
[821:64890:1] |
Generators of the group modulo torsion |
j |
-533116130640227974096/2048408107863975 |
j-invariant |
L |
6.5727815438079 |
L(r)(E,1)/r! |
Ω |
0.16997836247428 |
Real period |
R |
4.8335428169851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bd1 17160k1 |
Quadratic twists by: -4 -3 |