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	3850d	Isogeny class
Conductor	3850	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	808836875000000 = 26 · 510 · 76 · 11	Discriminant
Eigenvalues	2+  2 5+ 7+ 11+  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-89400,10160000]	[a1,a2,a3,a4,a6]
Generators	[440:7280:1]	Generators of the group modulo torsion
j	5057359576472449/51765560000	j-invariant
L	3.5912111971237	L(r)(E,1)/r!
Ω	0.50485811238535	Real period
R	1.778326973967	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	30800ca2 123200bf2 34650dc2 770f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850d2

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	0	-4	0	-6	-10	-2	-12	4	-6	6	-6	-4	4	12	4	8	-12	18	10

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Quadratic twists for elliptic curve 3850d2

-4	8	-3	5	-7	-11
30800ca2	123200bf2	34650dc2	770f2	26950p2	42350cq2

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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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