Cremona's table of elliptic curves

4180 = 2² · 5 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 19+	Signs for the Atkin-Lehner involutions
Class	4180c	Isogeny class
Conductor	4180	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	9174598400 = 28 · 52 · 11 · 194	Discriminant
Eigenvalues	2-  2 5- -4 11-  4  4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-660,-4408]	[a1,a2,a3,a4,a6]
j	124386546256/35838275	j-invariant
L	2.8875258070269	L(r)(E,1)/r!
Ω	0.96250860234229	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	16720bf2 66880j2 37620f2 20900c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4180c2

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	-	-4	-	4	4	+	2	6	-4	10	2	0	-2	-6	0	10	2	-8	-12	8	8	14	6

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Quadratic twists for elliptic curve 4180c2

-4	8	-3	5	-11	-19
16720bf2	66880j2	37620f2	20900c2	45980f2	79420e2

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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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