Cremona's table of elliptic curves

330 = 2 · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11+	Signs for the Atkin-Lehner involutions
Class	330b	Isogeny class
Conductor	330	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-32153832150 = -1 · 2 · 3 · 52 · 118	Discriminant
Eigenvalues	2- 3- 5-  0 11+ -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,495,-7473]	[a1,a2,a3,a4,a6]
j	13411719834479/32153832150	j-invariant
L	2.418868993809	L(r)(E,1)/r!
Ω	0.60471724845225	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2640q6 10560e6 990e6 1650a6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 330b6

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	+	-2	2	-4	0	-2	0	-2	2	-12	8	6	-12	6	4	0	-6	-16	4	10	2

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Quadratic twists for elliptic curve 330b6

-4	8	-3	5	-7	-11	13	17	-19
2640q6	10560e6	990e6	1650a6	16170bj6	3630k6	55770z5	95370ca5	119130i5

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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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