Cremona's table of elliptic curves

4332 = 2² · 3 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3- 19-	Signs for the Atkin-Lehner involutions
Class	4332d	Isogeny class
Conductor	4332	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-2059480486656 = -1 · 28 · 32 · 197	Discriminant
Eigenvalues	2- 3- -3  1 -5  6 -5 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,963,-67761]	[a1,a2,a3,a4,a6]
j	8192/171	j-invariant
L	1.6064012357647	L(r)(E,1)/r!
Ω	0.40160030894117	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17328w1 69312v1 12996p1 108300o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4332d1

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
-	-	-3	1	-5	6	-5	-	4	-6	-6	8	8	9	1	-2	8	11	0	4	-11	8	-4	-10	10

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Quadratic twists for elliptic curve 4332d1

-4	8	-3	5	-19
17328w1	69312v1	12996p1	108300o1	228b1

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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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