Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18564g |
Isogeny class |
Conductor |
18564 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
7.1875273534199E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 6 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20524210,-35779688627] |
[a1,a2,a3,a4,a6] |
j |
59758969463876165251991296/4492204595887421049 |
j-invariant |
L |
2.482578236087 |
L(r)(E,1)/r! |
Ω |
0.070930806745342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256cp1 55692bh1 129948bc1 |
Quadratic twists by: -4 -3 -7 |