Cremona's table of elliptic curves

3010 = 2 · 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 5- 7+ 43+	Signs for the Atkin-Lehner involutions
Class	3010g	Isogeny class
Conductor	3010	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-2949800 = -1 · 23 · 52 · 73 · 43	Discriminant
Eigenvalues	2-  1 5- 7+ -5 -2 -4 -3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,35,25]	[a1,a2,a3,a4,a6]
Generators	[0:5:1]	Generators of the group modulo torsion
j	4733169839/2949800	j-invariant
L	5.3942291230489	L(r)(E,1)/r!
Ω	1.5712530657802	Real period
R	0.57217911408078	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24080r1 96320c1 27090j1 15050g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3010g1

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
-	1	-	+	-5	-2	-4	-3	0	-7	7	5	2	+	-8	-8	-10	-12	3	7	10	10	6	15	12

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Quadratic twists for elliptic curve 3010g1

-4	8	-3	5	-7	-43
24080r1	96320c1	27090j1	15050g1	21070o1	129430h1

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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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