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	4466b	Isogeny class
Conductor	4466	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	180219208862 = 2 · 710 · 11 · 29	Discriminant
Eigenvalues	2+ -2 -4 7- 11+ -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3053,61362]	[a1,a2,a3,a4,a6]
Generators	[-60:201:1] [-18:341:1]	Generators of the group modulo torsion
j	3145571940578761/180219208862	j-invariant
L	2.3104340869728	L(r)(E,1)/r!
Ω	0.99748930430101	Real period
R	0.92649979383703	Regulator
r	2	Rank of the group of rational points
S	0.99999999999955	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35728u2 40194cd2 111650m2 31262a2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4466b2

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

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Quadratic twists for elliptic curve 4466b2

-4	-3	5	-7	-11	29
35728u2	40194cd2	111650m2	31262a2	49126f2	129514l2

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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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