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	32	Product of Tamagawa factors cp
Δ	717409000000 = 26 · 56 · 72 · 114	Discriminant
Eigenvalues	2+  0 5+ 7- 11+ -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-8092,-275184]	[a1,a2,a3,a4,a6]
j	3750606459153/45914176	j-invariant
L	1.0074756537615	L(r)(E,1)/r!
Ω	0.50373782688076	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	30800bh2 123200ca2 34650do2 154b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850f2

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 3850f2

-4	8	-3	5	-7	-11
30800bh2	123200ca2	34650do2	154b2	26950g2	42350bt2

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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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