Cremona's table of elliptic curves

11928 = 2³ · 3 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 71+	Signs for the Atkin-Lehner involutions
Class	11928i	Isogeny class
Conductor	11928	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2290606553088 = 211 · 38 · 74 · 71	Discriminant
Eigenvalues	2- 3+  2 7-  0  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4352,84588]	[a1,a2,a3,a4,a6]
Generators	[-59:364:1]	Generators of the group modulo torsion
j	4452051792386/1118460231	j-invariant
L	4.8682713118774	L(r)(E,1)/r!
Ω	0.76812725632207	Real period
R	3.1689223835042	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	23856i4 95424bc4 35784n4 83496t4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11928i3

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	2	-	0	2	-2	4	8	-2	-8	-10	-2	-12	-8	-6	-4	2	0	+	-6	0	-4	-14	-2

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Quadratic twists for elliptic curve 11928i3

-4	8	-3	-7
23856i4	95424bc4	35784n4	83496t4

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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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