Cremona's table of elliptic curves

3002 = 2 · 19 · 79

Field	Data	Notes
Atkin-Lehner	2- 19+ 79+	Signs for the Atkin-Lehner involutions
Class	3002c	Isogeny class
Conductor	3002	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	12960	Modular degree for the optimal curve
Δ	-51278465204224 = -1 · 218 · 195 · 79	Discriminant
Eigenvalues	2-  2  3  0 -4  2  8 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,2606,-339617]	[a1,a2,a3,a4,a6]
j	1957205964033503/51278465204224	j-invariant
L	5.506976600753	L(r)(E,1)/r!
Ω	0.30594314448628	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24016l1 96064i1 27018b1 75050b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3002c1

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	3	0	-4	2	8	+	0	-7	3	9	-5	13	5	-3	4	-10	-7	-12	11	+	-18	16	0

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Quadratic twists for elliptic curve 3002c1

-4	8	-3	5	-19
24016l1	96064i1	27018b1	75050b1	57038j1

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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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