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	3894p	Isogeny class
Conductor	3894	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	44648432303267628 = 22 · 37 · 112 · 596	Discriminant
Eigenvalues	2- 3-  2 -2 11- -2  4  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-93722,4305912]	[a1,a2,a3,a4,a6]
j	91043437096839199393/44648432303267628	j-invariant
L	4.4735571915435	L(r)(E,1)/r!
Ω	0.31953979939596	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	31152m2 124608h2 11682d2 97350g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3894p2

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

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Quadratic twists for elliptic curve 3894p2

-4	8	-3	5	-11
31152m2	124608h2	11682d2	97350g2	42834p2

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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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