Cremona's table of elliptic curves

Curve 87024bk3

87024 = 24 · 3 · 72 · 37



Data for elliptic curve 87024bk3

Field Data Notes
Atkin-Lehner 2+ 3- 7- 37- Signs for the Atkin-Lehner involutions
Class 87024bk Isogeny class
Conductor 87024 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -77089547352308736 = -1 · 210 · 3 · 714 · 37 Discriminant
Eigenvalues 2+ 3- -2 7-  4  2  2  8 Hecke eigenvalues for primes up to 20
Equation [0,1,0,76816,10575396] [a1,a2,a3,a4,a6]
j 416087747708/639892911 j-invariant
L 3.7420791013386 L(r)(E,1)/r!
Ω 0.23387993729914 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 4 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 43512d3 12432f4 Quadratic twists by: -4 -7


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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