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	3850n	Isogeny class
Conductor	3850	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-2759680000000 = -1 · 216 · 57 · 72 · 11	Discriminant
Eigenvalues	2-  0 5+ 7+ 11+  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-730,-80103]	[a1,a2,a3,a4,a6]
j	-2749884201/176619520	j-invariant
L	2.8408627180542	L(r)(E,1)/r!
Ω	0.35510783975678	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	30800bq1 123200p1 34650w1 770e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850n1

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

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Quadratic twists for elliptic curve 3850n1

-4	8	-3	5	-7	-11
30800bq1	123200p1	34650w1	770e1	26950ce1	42350u1

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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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