Cremona's table of elliptic curves

3850 = 2 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	3850f	Isogeny class
Conductor	3850	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	36315125000 = 23 · 56 · 74 · 112	Discriminant
Eigenvalues	2+  0 5+ 7- 11+ -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-129092,-17820184]	[a1,a2,a3,a4,a6]
j	15226621995131793/2324168	j-invariant
L	1.0074756537615	L(r)(E,1)/r!
Ω	0.25186891344038	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	30800bh4 123200ca4 34650do4 154b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850f3

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	-2	0	8	-2	-8	2	10	-4	-8	-6	0	10	12	16	14	0	0	-6	-10

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Quadratic twists for elliptic curve 3850f3

-4	8	-3	5	-7	-11
30800bh4	123200ca4	34650do4	154b3	26950g4	42350bt4

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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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