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	3850k	Isogeny class
Conductor	3850	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-73950800000000 = -1 · 210 · 58 · 75 · 11	Discriminant
Eigenvalues	2+  1 5- 7+ 11-  6 -3  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1326,414048]	[a1,a2,a3,a4,a6]
Generators	[-27:669:1]	Generators of the group modulo torsion
j	-659361145/189314048	j-invariant
L	3.0653798872146	L(r)(E,1)/r!
Ω	0.49921980919498	Real period
R	3.0701705248412	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	30800cs2 123200cn2 34650ea2 3850t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850k2

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 3850k2

-4	8	-3	5	-7	-11
30800cs2	123200cn2	34650ea2	3850t1	26950bn2	42350dd2

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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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