Cremona's table of elliptic curves

3784 = 2³ · 11 · 43

Field	Data	Notes
Atkin-Lehner	2+ 11- 43+	Signs for the Atkin-Lehner involutions
Class	3784d	Isogeny class
Conductor	3784	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	38509374464 = 210 · 11 · 434	Discriminant
Eigenvalues	2+  0 -2  0 11- -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-851,1470]	[a1,a2,a3,a4,a6]
j	66559865508/37606811	j-invariant
L	0.99242167970072	L(r)(E,1)/r!
Ω	0.99242167970072	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	7568a4 30272d3 34056s3 94600r3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3784d3

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
+	0	-2	0	-	-2	-6	4	0	10	0	-10	2	+	0	-10	4	10	12	12	6	8	4	10	2

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Quadratic twists for elliptic curve 3784d3

-4	8	-3	5	-11
7568a4	30272d3	34056s3	94600r3	41624n3

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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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