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	330c	Isogeny class
Conductor	330	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	643043610000 = 24 · 312 · 54 · 112	Discriminant
Eigenvalues	2- 3+ 5-  0 11-  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-10705,-429025]	[a1,a2,a3,a4,a6]
j	135670761487282321/643043610000	j-invariant
L	1.8779608986609	L(r)(E,1)/r!
Ω	0.46949022466522	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2640v4 10560q3 990c4 1650h3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 330c3

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	-	6	2	-4	0	-10	0	6	2	4	-8	-10	-4	-2	-4	-8	2	-8	-12	-6	18

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Quadratic twists for elliptic curve 330c3

-4	8	-3	5	-7	-11	13	17	-19
2640v4	10560q3	990c4	1650h3	16170cb4	3630d4	55770a3	95370cw3	119130u3

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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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