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	3850y	Isogeny class
Conductor	3850	Conductor
∏ cp	162	Product of Tamagawa factors cp
deg	194400	Modular degree for the optimal curve
Δ	-5656626483200000000 = -1 · 218 · 58 · 73 · 115	Discriminant
Eigenvalues	2-  1 5- 7- 11+  2  3  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-12893013,17818146017]	[a1,a2,a3,a4,a6]
j	-606773969327363726065/14480963796992	j-invariant
L	4.0059092977369	L(r)(E,1)/r!
Ω	0.22255051654094	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	30800cm1 123200dq1 34650ce1 3850b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850y1

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

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Quadratic twists for elliptic curve 3850y1

-4	8	-3	5	-7	-11
30800cm1	123200dq1	34650ce1	3850b1	26950dd1	42350bm1

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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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