Cremona's table of elliptic curves

3080 = 2³ · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5- 7- 11-	Signs for the Atkin-Lehner involutions
Class	3080b	Isogeny class
Conductor	3080	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	344960000 = 210 · 54 · 72 · 11	Discriminant
Eigenvalues	2+  0 5- 7- 11- -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-11507,-475106]	[a1,a2,a3,a4,a6]
j	164554625611044/336875	j-invariant
L	1.8438223333576	L(r)(E,1)/r!
Ω	0.46095558333941	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	6160c3 24640i4 27720bk4 15400n3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3080b3

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	6	-4	4	6	0	-10	10	4	12	6	-4	14	-8	16	-2	0	12	-6	18

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Quadratic twists for elliptic curve 3080b3

-4	8	-3	5	-7	-11
6160c3	24640i4	27720bk4	15400n3	21560e4	33880p4

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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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