Atkin-Lehner |
2- 3- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65424n |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-196272 = -1 · 24 · 32 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 3 3 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,-18] |
[a1,a2,a3,a4,a6] |
j |
2048000/12267 |
j-invariant |
L |
3.1828189117688 |
L(r)(E,1)/r! |
Ω |
1.5914094593534 |
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 |
16356a1 |
Quadratic twists by: -4 |