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	3894k	Isogeny class
Conductor	3894	Conductor
∏ cp	40	Product of Tamagawa factors cp
Δ	-2.8317260912916E+19	Discriminant
Eigenvalues	2- 3+  2 -4 11+  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,261923,250882259]	[a1,a2,a3,a4,a6]
Generators	[11:15924:1]	Generators of the group modulo torsion
j	1987213448872952062127/28317260912916156192	j-invariant
L	4.5900445064528	L(r)(E,1)/r!
Ω	0.15583028840088	Real period
R	2.9455406606479	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31152bd3 124608br3 11682h4 97350x3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3894k4

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	-4	+	2	2	-4	-4	-2	0	-2	-6	-4	12	-14	-	10	-4	-12	2	-4	4	-14	2

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Quadratic twists for elliptic curve 3894k4

-4	8	-3	5	-11
31152bd3	124608br3	11682h4	97350x3	42834j3

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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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