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	3850ba	Isogeny class
Conductor	3850	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-8348032000 = -1 · 210 · 53 · 72 · 113	Discriminant
Eigenvalues	2-  0 5- 7- 11- -2 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-235,4667]	[a1,a2,a3,a4,a6]
Generators	[-7:80:1]	Generators of the group modulo torsion
j	-11436248277/66784256	j-invariant
L	5.1411997886139	L(r)(E,1)/r!
Ω	1.1303026604936	Real period
R	0.15161720154874	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	30800cd1 123200db1 34650by1 3850j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850ba1

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

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Quadratic twists for elliptic curve 3850ba1

-4	8	-3	5	-7	-11
30800cd1	123200db1	34650by1	3850j1	26950dg1	42350bh1

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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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