Cremona's table of elliptic curves

5852 = 2² · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 7+ 11+ 19+	Signs for the Atkin-Lehner involutions
Class	5852a	Isogeny class
Conductor	5852	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	2440798976 = 28 · 74 · 11 · 192	Discriminant
Eigenvalues	2- -2  2 7+ 11+ -4 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-140852,-20393660]	[a1,a2,a3,a4,a6]
j	1207190708992683088/9534371	j-invariant
L	0.73931547740001	L(r)(E,1)/r!
Ω	0.24643849246667	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23408j2 93632h2 52668s2 40964f2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5852a2

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

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Quadratic twists for elliptic curve 5852a2

-4	8	-3	-7	-11	-19
23408j2	93632h2	52668s2	40964f2	64372g2	111188a2

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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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