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	24	Product of Tamagawa factors cp
Δ	129696875000 = 23 · 58 · 73 · 112	Discriminant
Eigenvalues	2-  2 5+ 7+ 11+ -2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-365838,85016531]	[a1,a2,a3,a4,a6]
j	346553430870203929/8300600	j-invariant
L	4.5333155631592	L(r)(E,1)/r!
Ω	0.75555259385986	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	30800by2 123200bb2 34650r2 770b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850o2

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 3850o2

-4	8	-3	5	-7	-11
30800by2	123200bb2	34650r2	770b2	26950cj2	42350ba2

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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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