Cremona's table of elliptic curves

Curve 32016a2

32016 = 24 · 3 · 23 · 29



Data for elliptic curve 32016a2

Field Data Notes
Atkin-Lehner 2+ 3+ 23+ 29+ Signs for the Atkin-Lehner involutions
Class 32016a Isogeny class
Conductor 32016 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ 47127552 = 210 · 3 · 232 · 29 Discriminant
Eigenvalues 2+ 3+  0  2 -2 -2  6 -4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-1848,31200] [a1,a2,a3,a4,a6]
Generators [29:34:1] Generators of the group modulo torsion
j 681969014500/46023 j-invariant
L 4.7949211539774 L(r)(E,1)/r!
Ω 1.9134086196223 Real period
R 2.5059577472397 Regulator
r 1 Rank of the group of rational points
S 0.99999999999996 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 16008g2 128064db2 96048l2 Quadratic twists by: -4 8 -3


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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