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	2838b	Isogeny class
Conductor	2838	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-6796261691190411264 = -1 · 242 · 33 · 113 · 43	Discriminant
Eigenvalues	2+ 3-  3 -1 11+ -4 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,112513,124592978]	[a1,a2,a3,a4,a6]
Generators	[267195:12449252:125]	Generators of the group modulo torsion
j	157520606341736640023/6796261691190411264	j-invariant
L	3.2612545864863	L(r)(E,1)/r!
Ω	0.17937281121678	Real period
R	3.0302386821834	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	22704z2 90816q2 8514k2 70950bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2838b2

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
+	-	3	-1	+	-4	-3	-4	-6	-6	-1	2	-9	-	-6	0	6	-7	5	3	-7	-4	15	3	-13

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Quadratic twists for elliptic curve 2838b2

-4	8	-3	5	-11	-43
22704z2	90816q2	8514k2	70950bb2	31218p2	122034g2

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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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