Cremona's table of elliptic curves

5520 = 2⁴ · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 23+	Signs for the Atkin-Lehner involutions
Class	5520m	Isogeny class
Conductor	5520	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	204714285465600 = 218 · 310 · 52 · 232	Discriminant
Eigenvalues	2- 3+ 5+  0  4 -6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-14776,-59024]	[a1,a2,a3,a4,a6]
j	87109155423289/49979073600	j-invariant
L	0.94020979504357	L(r)(E,1)/r!
Ω	0.47010489752179	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	690e2 22080cx2 16560cb2 27600cv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5520m2

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	4	-6	-6	-4	+	-6	8	6	10	-4	8	-14	0	10	-4	-8	2	12	16	-2	-14

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Quadratic twists for elliptic curve 5520m2

-4	8	-3	5	-23
690e2	22080cx2	16560cb2	27600cv2	126960br2

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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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