Cremona's table of elliptic curves

14640 = 2⁴ · 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 61+	Signs for the Atkin-Lehner involutions
Class	14640b	Isogeny class
Conductor	14640	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	385793280 = 28 · 34 · 5 · 612	Discriminant
Eigenvalues	2+ 3+ 5- -2  4 -2 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2180,-38448]	[a1,a2,a3,a4,a6]
j	4477673574736/1507005	j-invariant
L	1.3973577198366	L(r)(E,1)/r!
Ω	0.69867885991831	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	7320e2 58560dq2 43920i2 73200u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14640b2

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

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Quadratic twists for elliptic curve 14640b2

-4	8	-3	5
7320e2	58560dq2	43920i2	73200u2

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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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