Cremona's table of elliptic curves

14784 = 2⁶ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11+	Signs for the Atkin-Lehner involutions
Class	14784bd	Isogeny class
Conductor	14784	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	1121604599808 = 219 · 34 · 74 · 11	Discriminant
Eigenvalues	2+ 3-  2 7- 11+ -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8097,273087]	[a1,a2,a3,a4,a6]
Generators	[-93:480:1]	Generators of the group modulo torsion
j	223980311017/4278582	j-invariant
L	6.6955727808803	L(r)(E,1)/r!
Ω	0.87020182224869	Real period
R	1.9235689381741	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14784bu3 462c4 44352cp3 103488z3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784bd4

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

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Quadratic twists for elliptic curve 14784bd4

-4	8	-3	-7
14784bu3	462c4	44352cp3	103488z3

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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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