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	3850t	Isogeny class
Conductor	3850	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	-44037382812500 = -1 · 22 · 510 · 7 · 115	Discriminant
Eigenvalues	2- -1 5+ 7- 11- -6  3  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-12513,-631469]	[a1,a2,a3,a4,a6]
j	-22187592025/4509428	j-invariant
L	2.2325788581489	L(r)(E,1)/r!
Ω	0.22325788581489	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	30800ba2 123200bn2 34650be2 3850k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850t2

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
-	-1	+	-	-	-6	3	0	4	-10	7	3	2	9	3	9	5	2	8	2	-11	5	-6	0	-2

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Quadratic twists for elliptic curve 3850t2

-4	8	-3	5	-7	-11
30800ba2	123200bn2	34650be2	3850k1	26950cu2	42350k2

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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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