Cremona's table of elliptic curves

5320 = 2³ · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 19+	Signs for the Atkin-Lehner involutions
Class	5320c	Isogeny class
Conductor	5320	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	22641920 = 28 · 5 · 72 · 192	Discriminant
Eigenvalues	2+ -2 5- 7+  4  4  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1300,-18480]	[a1,a2,a3,a4,a6]
j	949834267216/88445	j-invariant
L	1.5900775392972	L(r)(E,1)/r!
Ω	0.79503876964859	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	10640h2 42560k2 47880bb2 26600bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5320c2

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

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Quadratic twists for elliptic curve 5320c2

-4	8	-3	5	-7	-19
10640h2	42560k2	47880bb2	26600bb2	37240f2	101080t2

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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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