Cremona's table of elliptic curves

3894 = 2 · 3 · 11 · 59

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 59-	Signs for the Atkin-Lehner involutions
Class	3894l	Isogeny class
Conductor	3894	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	53947200001068 = 22 · 37 · 116 · 592	Discriminant
Eigenvalues	2- 3+  2  2 11-  2  8  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-48292,4049273]	[a1,a2,a3,a4,a6]
j	12455175463333710913/53947200001068	j-invariant
L	3.7980086265631	L(r)(E,1)/r!
Ω	0.63300143776052	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	31152w2 124608ba2 11682c2 97350be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3894l2

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	-	2	8	2	8	-8	-6	-2	0	-4	0	-2	-	-2	14	0	2	-10	4	-8	-10

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Quadratic twists for elliptic curve 3894l2

-4	8	-3	5	-11
31152w2	124608ba2	11682c2	97350be2	42834i2

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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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