Atkin-Lehner |
2- 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28644o |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-949567390464 = -1 · 28 · 3 · 73 · 112 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- -5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2379,-13497] |
[a1,a2,a3,a4,a6] |
j |
5814126903296/3709247619 |
j-invariant |
L |
1.0114798362638 |
L(r)(E,1)/r! |
Ω |
0.5057399181316 |
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 |
114576bh1 85932s1 |
Quadratic twists by: -4 -3 |