Cremona's table of elliptic curves

2838 = 2 · 3 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 43+	Signs for the Atkin-Lehner involutions
Class	2838d	Isogeny class
Conductor	2838	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	-579905568 = -1 · 25 · 34 · 112 · 432	Discriminant
Eigenvalues	2- 3-  0 -4 11+  0 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,82,-1116]	[a1,a2,a3,a4,a6]
Generators	[16:58:1]	Generators of the group modulo torsion
j	60930425375/579905568	j-invariant
L	5.0562160811237	L(r)(E,1)/r!
Ω	0.80742664191452	Real period
R	0.31310683959689	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	22704bb2 90816t2 8514c2 70950d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2838d2

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
-	-	0	-4	+	0	-2	-4	-4	-2	-4	8	-10	+	0	-6	12	2	-12	6	6	6	-12	2	10

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Quadratic twists for elliptic curve 2838d2

-4	8	-3	5	-11	-43
22704bb2	90816t2	8514c2	70950d2	31218h2	122034a2

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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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