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	4180a	Isogeny class
Conductor	4180	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	264270050000 = 24 · 55 · 114 · 192	Discriminant
Eigenvalues	2-  0 5+ -2 11+  0 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1808,-16243]	[a1,a2,a3,a4,a6]
j	40850653446144/16516878125	j-invariant
L	0.75836402356579	L(r)(E,1)/r!
Ω	0.75836402356579	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	16720x1 66880bs1 37620l1 20900a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4180a1

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
-	0	+	-2	+	0	-6	+	-6	2	-8	12	6	10	2	0	12	-2	-8	8	-6	-8	6	6	-16

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Quadratic twists for elliptic curve 4180a1

-4	8	-3	5	-11	-19
16720x1	66880bs1	37620l1	20900a1	45980b1	79420a1

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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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