Cremona's table of elliptic curves

34200 = 2³ · 3² · 5² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 19+	Signs for the Atkin-Lehner involutions
Class	34200bj	Isogeny class
Conductor	34200	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8421408000 = 28 · 36 · 53 · 192	Discriminant
Eigenvalues	2+ 3- 5- -2 -4  0  8 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-86655,-9818350]	[a1,a2,a3,a4,a6]
Generators	[955:27900:1]	Generators of the group modulo torsion
j	3084800518928/361	j-invariant
L	4.9296813637587	L(r)(E,1)/r!
Ω	0.27826023724774	Real period
R	4.4290206647176	Regulator
r	1	Rank of the group of rational points
S	1.0000000000002	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	68400cu2 3800i2 34200cv2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 34200bj2

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	8	+	6	-2	-8	0	6	-10	-6	0	4	6	-2	-16	16	8	10	10	-4

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Quadratic twists for elliptic curve 34200bj2

-4	-3	5
68400cu2	3800i2	34200cv2

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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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