Cremona's table of elliptic curves

5110 = 2 · 5 · 7 · 73

Field	Data	Notes
Atkin-Lehner	2+ 5- 7- 73-	Signs for the Atkin-Lehner involutions
Class	5110c	Isogeny class
Conductor	5110	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-669777920 = -1 · 218 · 5 · 7 · 73	Discriminant
Eigenvalues	2+  1 5- 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-530268,-148668774]	[a1,a2,a3,a4,a6]
j	-16489549609672734859321/669777920	j-invariant
L	1.5922758467089	L(r)(E,1)/r!
Ω	0.088459769261603	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40880y3 45990cb3 25550p3 35770e3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5110c3

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
+	1	-	-	0	-4	-6	2	6	0	5	2	0	-1	-6	9	15	-10	14	15	-	-1	-6	12	-10

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Quadratic twists for elliptic curve 5110c3

-4	-3	5	-7
40880y3	45990cb3	25550p3	35770e3

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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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