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	3850o	Isogeny class
Conductor	3850	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	1550115875000000000 = 29 · 512 · 7 · 116	Discriminant
Eigenvalues	2-  2 5+ 7+ 11+ -2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-391213,72514531]	[a1,a2,a3,a4,a6]
j	423783056881319689/99207416000000	j-invariant
L	4.5333155631592	L(r)(E,1)/r!
Ω	0.25185086461995	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30800by4 123200bb4 34650r4 770b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850o4

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	+	+	+	-2	6	2	6	0	8	4	12	4	-12	0	0	2	-8	12	-2	14	-12	6	-8

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Quadratic twists for elliptic curve 3850o4

-4	8	-3	5	-7	-11
30800by4	123200bb4	34650r4	770b4	26950cj4	42350ba4

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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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