Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cg |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1457280 |
Modular degree for the optimal curve |
Δ |
-1.6358072289067E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -4 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1096392,-428627088] |
[a1,a2,a3,a4,a6] |
Generators |
[2154529068:82563743744:2803221] |
Generators of the group modulo torsion |
j |
56935209711531575/63898719879168 |
j-invariant |
L |
4.6453823604067 |
L(r)(E,1)/r! |
Ω |
0.097925829584651 |
Real period |
R |
11.859440915991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450q1 51600dd1 |
Quadratic twists by: -4 5 |