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	4180b	Isogeny class
Conductor	4180	Conductor
∏ cp	196	Product of Tamagawa factors cp
deg	602112	Modular degree for the optimal curve
Δ	1.7136211240444E+23	Discriminant
Eigenvalues	2-  2 5-  4 11- -4  4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-15896765,-14082748150]	[a1,a2,a3,a4,a6]
j	27767067707389964045910016/10710132025277343828125	j-invariant
L	3.8279280373531	L(r)(E,1)/r!
Ω	0.078120980354145	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	16720bg1 66880i1 37620e1 20900d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4180b1

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	+	-6	-2	4	10	10	8	6	10	-8	-6	2	16	-12	8	16	-2	6

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Quadratic twists for elliptic curve 4180b1

-4	8	-3	5	-11	-19
16720bg1	66880i1	37620e1	20900d1	45980g1	79420d1

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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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