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	330d	Isogeny class
Conductor	330	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	-4084000833203280000 = -1 · 27 · 320 · 54 · 114	Discriminant
Eigenvalues	2- 3+ 5+  4 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,277814,-79112617]	[a1,a2,a3,a4,a6]
j	2371297246710590562911/4084000833203280000	j-invariant
L	1.816538214956	L(r)(E,1)/r!
Ω	0.12975272963972	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2640u4 10560bg4 990g4 1650g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 330d4

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

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Quadratic twists for elliptic curve 330d4

-4	8	-3	5	-7	-11	13	17	-19
2640u4	10560bg4	990g4	1650g4	16170ce4	3630c4	55770r3	95370dx3	119130m3

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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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