Atkin-Lehner |
3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
14469l |
Isogeny class |
Conductor |
14469 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-564291 = -1 · 32 · 7 · 132 · 53 |
Discriminant |
Eigenvalues |
2 3- 1 7- 3 13+ 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15120,-720673] |
[a1,a2,a3,a4,a6] |
j |
-382303090200088576/564291 |
j-invariant |
L |
7.7496433907783 |
L(r)(E,1)/r! |
Ω |
0.21526787196606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43407m1 101283m1 |
Quadratic twists by: -3 -7 |