Cremona's table of elliptic curves

6650 = 2 · 5² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 19+	Signs for the Atkin-Lehner involutions
Class	6650j	Isogeny class
Conductor	6650	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-244838529298489000 = -1 · 23 · 53 · 714 · 192	Discriminant
Eigenvalues	2+ -2 5- 7+  4  2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1629716,801002778]	[a1,a2,a3,a4,a6]
j	-3829561990703458000109/1958708234387912	j-invariant
L	0.61612320823087	L(r)(E,1)/r!
Ω	0.30806160411543	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	53200ec2 59850fw2 6650bf2 46550bo2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6650j2

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	2	-6	+	-4	-4	4	10	-2	-10	0	-6	4	12	0	6	14	-2	-4	-6	-8

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Quadratic twists for elliptic curve 6650j2

-4	-3	5	-7	-19
53200ec2	59850fw2	6650bf2	46550bo2	126350dh2

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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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