Cremona's table of elliptic curves

2849 = 7 · 11 · 37

Field	Data	Notes
Atkin-Lehner	7- 11+ 37+	Signs for the Atkin-Lehner involutions
Class	2849a	Isogeny class
Conductor	2849	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	14789939657339 = 72 · 115 · 374	Discriminant
Eigenvalues	-1  2 -2 7- 11+  4  4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-858739,-306652754]	[a1,a2,a3,a4,a6]
j	70033737623583421776817/14789939657339	j-invariant
L	1.4114866348419	L(r)(E,1)/r!
Ω	0.15683184831577	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	45584i2 25641k2 71225c2 19943c2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2849a2

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
-1	2	-2	-	+	4	4	0	0	6	-2	+	0	4	-10	-6	6	8	0	12	12	0	8	2	-2

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Quadratic twists for elliptic curve 2849a2

-4	-3	5	-7	-11	37
45584i2	25641k2	71225c2	19943c2	31339b2	105413d2

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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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