Cremona's table of elliptic curves

Curve 8944c2

8944 = 24 · 13 · 43



Data for elliptic curve 8944c2

Field Data Notes
Atkin-Lehner 2+ 13- 43- Signs for the Atkin-Lehner involutions
Class 8944c Isogeny class
Conductor 8944 Conductor
∏ cp 4 Product of Tamagawa factors cp
Δ 6153472 = 28 · 13 · 432 Discriminant
Eigenvalues 2+  0  0 -2  0 13-  2 -2 Hecke eigenvalues for primes up to 20
Equation [0,0,0,-55,102] [a1,a2,a3,a4,a6]
Generators [-7:12:1] Generators of the group modulo torsion
j 71874000/24037 j-invariant
L 3.8540018673759 L(r)(E,1)/r!
Ω 2.1985613020502 Real period
R 1.7529653886758 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 4472b2 35776e2 80496s2 116272e2 Quadratic twists by: -4 8 -3 13


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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