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	995162963867187500 = 22 · 518 · 72 · 113	Discriminant
Eigenvalues	2+  2 5+ 7+ 11+  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-652900,-197575500]	[a1,a2,a3,a4,a6]
Generators	[-14010:43580:27]	Generators of the group modulo torsion
j	1969902499564819009/63690429687500	j-invariant
L	3.5912111971237	L(r)(E,1)/r!
Ω	0.16828603746178	Real period
R	5.334980921901	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	30800ca4 123200bf4 34650dc4 770f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850d4

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 3850d4

-4	8	-3	5	-7	-11
30800ca4	123200bf4	34650dc4	770f4	26950p4	42350cq4

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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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