Cremona's table of elliptic curves

Curve 87984t2

87984 = 24 · 32 · 13 · 47



Data for elliptic curve 87984t2

Field Data Notes
Atkin-Lehner 2- 3+ 13- 47+ Signs for the Atkin-Lehner involutions
Class 87984t Isogeny class
Conductor 87984 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 41286316032 = 212 · 33 · 132 · 472 Discriminant
Eigenvalues 2- 3+ -4 -2  0 13-  0 -8 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-867,-990] [a1,a2,a3,a4,a6]
Generators [-17:94:1] Generators of the group modulo torsion
j 651714363/373321 j-invariant
L 3.6719775291334 L(r)(E,1)/r!
Ω 0.9542174676556 Real period
R 0.96203896235848 Regulator
r 1 Rank of the group of rational points
S 0.99999999982093 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 5499d2 87984z2 Quadratic twists by: -4 -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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