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	3010b	Isogeny class
Conductor	3010	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	12096	Modular degree for the optimal curve
Δ	-103908474880000 = -1 · 218 · 54 · 73 · 432	Discriminant
Eigenvalues	2+ -2 5- 7+  4  4  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2873,-494244]	[a1,a2,a3,a4,a6]
j	-2621279152968841/103908474880000	j-invariant
L	1.0420814414476	L(r)(E,1)/r!
Ω	0.26052036036189	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	24080s1 96320e1 27090bg1 15050x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3010b1

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	-	+	4	4	2	6	0	2	-2	-10	2	+	-2	-2	8	6	12	-8	-8	16	12	-12	-18

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Quadratic twists for elliptic curve 3010b1

-4	8	-3	5	-7	-43
24080s1	96320e1	27090bg1	15050x1	21070d1	129430n1

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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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