Cremona's table of elliptic curves

4760 = 2³ · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 17+	Signs for the Atkin-Lehner involutions
Class	4760c	Isogeny class
Conductor	4760	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	4352	Modular degree for the optimal curve
Δ	-47600000000 = -1 · 210 · 58 · 7 · 17	Discriminant
Eigenvalues	2+  0 5- 7+ -6  4 17+  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1627,-27354]	[a1,a2,a3,a4,a6]
j	-465142919364/46484375	j-invariant
L	1.4949587610603	L(r)(E,1)/r!
Ω	0.37373969026507	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	9520d1 38080b1 42840bs1 23800g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4760c1

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	-	+	-6	4	+	2	8	-4	0	-8	-6	12	0	2	6	-6	8	4	-10	-4	14	-6	18

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Quadratic twists for elliptic curve 4760c1

-4	8	-3	5	-7	17
9520d1	38080b1	42840bs1	23800g1	33320c1	80920d1

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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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