Cremona's table of elliptic curves

Curve 28896f3

28896 = 25 · 3 · 7 · 43



Data for elliptic curve 28896f3

Field Data Notes
Atkin-Lehner 2+ 3+ 7- 43- Signs for the Atkin-Lehner involutions
Class 28896f Isogeny class
Conductor 28896 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ 257312638464 = 29 · 3 · 72 · 434 Discriminant
Eigenvalues 2+ 3+ -2 7-  0 -2  2  4 Hecke eigenvalues for primes up to 20
Equation [0,-1,0,-2184,31524] [a1,a2,a3,a4,a6]
Generators [346:1015:8] Generators of the group modulo torsion
j 2251181395016/502563747 j-invariant
L 4.0100138149975 L(r)(E,1)/r!
Ω 0.92714565980886 Real period
R 4.3251173885927 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 28896o3 57792bo4 86688bs3 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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