Cremona's table of elliptic curves

2852 = 2² · 23 · 31

Field	Data	Notes
Atkin-Lehner	2- 23+ 31-	Signs for the Atkin-Lehner involutions
Class	2852a	Isogeny class
Conductor	2852	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-92791576832 = -1 · 28 · 233 · 313	Discriminant
Eigenvalues	2-  1  0  5 -6 -4  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-548,15284]	[a1,a2,a3,a4,a6]
Generators	[23:124:1]	Generators of the group modulo torsion
j	-71222578000/362467097	j-invariant
L	4.0060177275455	L(r)(E,1)/r!
Ω	0.92804402546732	Real period
R	1.4388748872584	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	11408g2 45632b2 25668g2 71300g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2852a2

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	0	5	-6	-4	3	-4	+	-6	-	-10	3	-10	0	9	0	-7	11	0	-10	-10	-6	6	14

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Quadratic twists for elliptic curve 2852a2

-4	8	-3	5	-23	-31
11408g2	45632b2	25668g2	71300g2	65596b2	88412f2

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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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