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	3010f	Isogeny class
Conductor	3010	Conductor
∏ cp	54	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-178095680000 = -1 · 29 · 54 · 7 · 433	Discriminant
Eigenvalues	2-  1 5+ 7- -3  2  0 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1184,-12800]	[a1,a2,a3,a4,a6]
j	183550636104191/178095680000	j-invariant
L	3.3176492502502	L(r)(E,1)/r!
Ω	0.55294154170836	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	24080f1 96320ba1 27090z1 15050a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3010f1

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	+	-	-3	2	0	-1	6	9	5	11	12	-	12	-6	0	2	-13	-3	2	-4	0	-9	-16

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Quadratic twists for elliptic curve 3010f1

-4	8	-3	5	-7	-43
24080f1	96320ba1	27090z1	15050a1	21070ba1	129430i1

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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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