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	3894m	Isogeny class
Conductor	3894	Conductor
∏ cp	255	Product of Tamagawa factors cp
deg	24480	Modular degree for the optimal curve
Δ	-2746350494908416 = -1 · 215 · 317 · 11 · 59	Discriminant
Eigenvalues	2- 3-  1 -2 11+ -4 -5 -3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,33285,-942831]	[a1,a2,a3,a4,a6]
Generators	[606:-15855:1]	Generators of the group modulo torsion
j	4078200565293477839/2746350494908416	j-invariant
L	5.9391762406097	L(r)(E,1)/r!
Ω	0.25777669255212	Real period
R	0.090352960104678	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	31152r1 124608q1 11682i1 97350d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3894m1

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	+	-4	-5	-3	-8	6	-8	-1	-2	-4	3	9	+	10	-4	-12	9	16	3	-1	14

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Quadratic twists for elliptic curve 3894m1

-4	8	-3	5	-11
31152r1	124608q1	11682i1	97350d1	42834n1

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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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