Cremona's table of elliptic curves

Curve 43320be3

43320 = 23 · 3 · 5 · 192



Data for elliptic curve 43320be3

Field Data Notes
Atkin-Lehner 2- 3- 5- 19- Signs for the Atkin-Lehner involutions
Class 43320be Isogeny class
Conductor 43320 Conductor
∏ cp 256 Product of Tamagawa factors cp
Δ 2.89614443436E+19 Discriminant
Eigenvalues 2- 3- 5-  0  0  2 -6 19- Hecke eigenvalues for primes up to 20
Equation [0,1,0,-823200,-125190000] [a1,a2,a3,a4,a6]
Generators [-525:12750:1] Generators of the group modulo torsion
j 1280615525284/601171875 j-invariant
L 8.1218391318361 L(r)(E,1)/r!
Ω 0.16589494908074 Real period
R 3.0598577506577 Regulator
r 1 Rank of the group of rational points
S 1.0000000000002 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 86640h3 129960o3 2280b3 Quadratic twists by: -4 -3 -19


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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