Cremona's table of elliptic curves

4218 = 2 · 3 · 19 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3+ 19- 37+	Signs for the Atkin-Lehner involutions
Class	4218b	Isogeny class
Conductor	4218	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	36960	Modular degree for the optimal curve
Δ	9427277509392384 = 211 · 314 · 19 · 373	Discriminant
Eigenvalues	2+ 3+ -3 -2  1  6  4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-58939,-2941859]	[a1,a2,a3,a4,a6]
j	22643497811986095673/9427277509392384	j-invariant
L	0.63583693938765	L(r)(E,1)/r!
Ω	0.31791846969383	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	33744m1 12654n1 105450ci1 80142z1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 4218b1

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	-2	1	6	4	-	-5	0	0	+	-2	6	4	-13	-11	-7	6	5	-11	10	5	1	2

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Quadratic twists for elliptic curve 4218b1

-4	-3	5	-19
33744m1	12654n1	105450ci1	80142z1

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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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