Cremona's table of elliptic curves

Curve 28560bs5

28560 = 24 · 3 · 5 · 7 · 17



Data for elliptic curve 28560bs5

Field Data Notes
Atkin-Lehner 2+ 3- 5- 7+ 17- Signs for the Atkin-Lehner involutions
Class 28560bs Isogeny class
Conductor 28560 Conductor
∏ cp 32 Product of Tamagawa factors cp
Δ -4500200640337920 = -1 · 211 · 32 · 5 · 7 · 178 Discriminant
Eigenvalues 2+ 3- 5- 7+  4 -2 17- -4 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-14400,3290580] [a1,a2,a3,a4,a6]
j -161254333699202/2197363593915 j-invariant
L 2.9531103974011 L(r)(E,1)/r!
Ω 0.36913879967494 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 14280bp6 114240fp5 85680q5 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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