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	8	Product of Tamagawa factors cp
Δ	-310672490129100 = -1 · 22 · 324 · 52 · 11	Discriminant
Eigenvalues	2- 3+ 5-  0 11-  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-5205,-862425]	[a1,a2,a3,a4,a6]
j	-15595206456730321/310672490129100	j-invariant
L	1.8779608986609	L(r)(E,1)/r!
Ω	0.23474511233261	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	2640v6 10560q6 990c6 1650h6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 330c6

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 330c6

-4	8	-3	5	-7	-11	13	17	-19
2640v6	10560q6	990c6	1650h6	16170cb6	3630d6	55770a5	95370cw5	119130u5

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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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