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	14784bl	Isogeny class
Conductor	14784	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	10240	Modular degree for the optimal curve
Δ	36525779136 = 26 · 32 · 78 · 11	Discriminant
Eigenvalues	2+ 3-  2 7- 11- -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-932,-6270]	[a1,a2,a3,a4,a6]
j	1400416996672/570715299	j-invariant
L	3.5812846439239	L(r)(E,1)/r!
Ω	0.89532116098097	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	14784c1 7392k3 44352cd1 103488ca1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14784bl1

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	2	-4	-4	6	4	2	-6	12	4	-6	4	-2	-12	12	2	8	12	-6	18

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Quadratic twists for elliptic curve 14784bl1

-4	8	-3	-7
14784c1	7392k3	44352cd1	103488ca1

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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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