Cremona's table of elliptic curves

5880 = 2³ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	5880l	Isogeny class
Conductor	5880	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-338970298800 = -1 · 24 · 3 · 52 · 710	Discriminant
Eigenvalues	2+ 3- 5- 7-  0  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,425,27950]	[a1,a2,a3,a4,a6]
j	4499456/180075	j-invariant
L	2.9093429110885	L(r)(E,1)/r!
Ω	0.72733572777213	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	11760j1 47040e1 17640by1 29400cp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5880l1

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

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Quadratic twists for elliptic curve 5880l1

-4	8	-3	5	-7
11760j1	47040e1	17640by1	29400cp1	840b1

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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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