Cremona's table of elliptic curves

Curve 43197l2

43197 = 3 · 7 · 112 · 17



Data for elliptic curve 43197l2

Field Data Notes
Atkin-Lehner 3- 7+ 11- 17- Signs for the Atkin-Lehner involutions
Class 43197l Isogeny class
Conductor 43197 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -78745378011993 = -1 · 32 · 74 · 118 · 17 Discriminant
Eigenvalues  1 3-  0 7+ 11-  2 17- -6 Hecke eigenvalues for primes up to 20
Equation [1,0,1,6894,366265] [a1,a2,a3,a4,a6]
j 20458415375/44449713 j-invariant
L 1.6938201453403 L(r)(E,1)/r!
Ω 0.423455036371 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 129591j2 3927e2 Quadratic twists by: -3 -11


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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