Cremona's table of elliptic curves

2074 = 2 · 17 · 61

Field	Data	Notes
Atkin-Lehner	2+ 17- 61-	Signs for the Atkin-Lehner involutions
Class	2074a	Isogeny class
Conductor	2074	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-16005792196 = -1 · 22 · 172 · 614	Discriminant
Eigenvalues	2+ -2 -2  2 -2  2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1297,-19080]	[a1,a2,a3,a4,a6]
Generators	[57:276:1]	Generators of the group modulo torsion
j	-241025066403337/16005792196	j-invariant
L	1.4717439557397	L(r)(E,1)/r!
Ω	0.39628964965569	Real period
R	0.92845217949702	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16592c2 66368c2 18666g2 51850q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2074a2

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

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Quadratic twists for elliptic curve 2074a2

-4	8	-3	5	-7	17	61
16592c2	66368c2	18666g2	51850q2	101626e2	35258c2	126514h2

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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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