Cremona's table of elliptic curves

4466 = 2 · 7 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 7- 11+ 29+	Signs for the Atkin-Lehner involutions
Class	4466c	Isogeny class
Conductor	4466	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	12199182688 = 25 · 72 · 11 · 294	Discriminant
Eigenvalues	2-  0  0 7- 11+ -2  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1755,-27349]	[a1,a2,a3,a4,a6]
Generators	[-23:32:1]	Generators of the group modulo torsion
j	597479568890625/12199182688	j-invariant
L	5.3132181352002	L(r)(E,1)/r!
Ω	0.73856489445803	Real period
R	1.4387952027152	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35728s2 40194w2 111650a2 31262g2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4466c2

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
-	0	0	-	+	-2	0	2	-4	+	-2	6	0	0	-6	-2	-12	-10	4	0	-16	-16	6	2	-14

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Quadratic twists for elliptic curve 4466c2

-4	-3	5	-7	-11	29
35728s2	40194w2	111650a2	31262g2	49126a2	129514f2

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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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