Cremona's table of elliptic curves

Curve 1089g4

1089 = 32 · 112



Data for elliptic curve 1089g4

Field Data Notes
Atkin-Lehner 3- 11- Signs for the Atkin-Lehner involutions
Class 1089g Isogeny class
Conductor 1089 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -7549729318046619 = -1 · 318 · 117 Discriminant
Eigenvalues  1 3-  2 -4 11-  2 -2  0 Hecke eigenvalues for primes up to 20
Equation [1,-1,0,47349,1311052] [a1,a2,a3,a4,a6]
Generators [838:21361:8] Generators of the group modulo torsion
j 9090072503/5845851 j-invariant
L 3.0782580105364 L(r)(E,1)/r!
Ω 0.26019009408597 Real period
R 2.9577010044811 Regulator
r 1 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 17424bw4 69696cw3 363a4 27225bo3 Quadratic twists by: -4 8 -3 5


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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