Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520el |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
49301701263360 = 218 · 310 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13107,468466] |
[a1,a2,a3,a4,a6] |
j |
83396175409/16511040 |
j-invariant |
L |
2.4066517550276 |
L(r)(E,1)/r! |
Ω |
0.60166293934172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190r1 21840bz1 |
Quadratic twists by: -4 -3 |