Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400cq |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-1.431607415355E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -5 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,197167,-574743963] |
[a1,a2,a3,a4,a6] |
Generators |
[763:4394:1] |
Generators of the group modulo torsion |
j |
351232/59319 |
j-invariant |
L |
2.8462512842539 |
L(r)(E,1)/r! |
Ω |
0.086668083606449 |
Real period |
R |
2.0525514985915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400bw1 7800c1 |
Quadratic twists by: 5 13 |