Cremona's table of elliptic curves

4182 = 2 · 3 · 17 · 41

Field	Data	Notes
Atkin-Lehner	2- 3+ 17- 41-	Signs for the Atkin-Lehner involutions
Class	4182g	Isogeny class
Conductor	4182	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-393706773854514 = -1 · 2 · 324 · 17 · 41	Discriminant
Eigenvalues	2- 3+  2  0  4  2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3637,956861]	[a1,a2,a3,a4,a6]
j	-5320605737038033/393706773854514	j-invariant
L	3.5213653799851	L(r)(E,1)/r!
Ω	0.44017067249814	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	33456w3 12546b4 104550t3 71094v3	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4182g4

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
-	+	2	0	4	2	-	0	0	6	0	2	-	4	0	-6	12	-6	8	-8	-6	-16	12	-14	2

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Quadratic twists for elliptic curve 4182g4

-4	-3	5	17
33456w3	12546b4	104550t3	71094v3

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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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