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	14640w	Isogeny class
Conductor	14640	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-2789142528000 = -1 · 215 · 3 · 53 · 613	Discriminant
Eigenvalues	2- 3+ 5+ -5 -6 -1 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12896,573696]	[a1,a2,a3,a4,a6]
Generators	[-32:976:1]	Generators of the group modulo torsion
j	-57911193276769/680943000	j-invariant
L	2.0833094375412	L(r)(E,1)/r!
Ω	0.80939966579005	Real period
R	0.2144912175441	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1830k2 58560dy2 43920ch2 73200cv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14640w2

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
-	+	+	-5	-6	-1	-6	-2	6	6	10	-4	0	-8	9	-9	-12	-	4	9	2	-2	18	-3	2

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Quadratic twists for elliptic curve 14640w2

-4	8	-3	5
1830k2	58560dy2	43920ch2	73200cv2

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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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