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	32	Product of Tamagawa factors cp
Δ	1859334400 = 28 · 52 · 74 · 112	Discriminant
Eigenvalues	2+  0 5- 7- 11- -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-727,-7254]	[a1,a2,a3,a4,a6]
j	165991931856/7263025	j-invariant
L	1.8438223333576	L(r)(E,1)/r!
Ω	0.92191116667882	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	6160c2 24640i2 27720bk2 15400n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3080b2

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 3080b2

-4	8	-3	5	-7	-11
6160c2	24640i2	27720bk2	15400n2	21560e2	33880p2

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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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