Cremona's table of elliptic curves

Curve 42840bw3

42840 = 23 · 32 · 5 · 7 · 17



Data for elliptic curve 42840bw3

Field Data Notes
Atkin-Lehner 2- 3- 5+ 7- 17+ Signs for the Atkin-Lehner involutions
Class 42840bw Isogeny class
Conductor 42840 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -818318712960000 = -1 · 210 · 37 · 54 · 7 · 174 Discriminant
Eigenvalues 2- 3- 5+ 7- -4 -6 17+ -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-17643,1645558] [a1,a2,a3,a4,a6]
Generators [59:-900:1] [158:1674:1] Generators of the group modulo torsion
j -813604851364/1096213125 j-invariant
L 8.6096105608579 L(r)(E,1)/r!
Ω 0.45280241390265 Real period
R 4.7535140585115 Regulator
r 2 Rank of the group of rational points
S 1.0000000000001 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 85680p3 14280bc4 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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