Atkin-Lehner |
2- 3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28644m |
Isogeny class |
Conductor |
28644 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
852768 |
Modular degree for the optimal curve |
Δ |
-2.7196964840933E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5212270,4585372901] |
[a1,a2,a3,a4,a6] |
j |
-978778736918445588411136/1699810302558328191 |
j-invariant |
L |
2.9528924776503 |
L(r)(E,1)/r! |
Ω |
0.21092089126069 |
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 |
114576bk1 85932bb1 |
Quadratic twists by: -4 -3 |