Cremona's table of elliptic curves

4070 = 2 · 5 · 11 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5- 11- 37+	Signs for the Atkin-Lehner involutions
Class	4070b	Isogeny class
Conductor	4070	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	6023600 = 24 · 52 · 11 · 372	Discriminant
Eigenvalues	2+ -2 5- -4 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-943,11058]	[a1,a2,a3,a4,a6]
Generators	[19:0:1]	Generators of the group modulo torsion
j	92596929932521/6023600	j-invariant
L	1.6289181308032	L(r)(E,1)/r!
Ω	2.2693162428217	Real period
R	0.35890064594476	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	32560n2 36630be2 20350z2 44770t2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4070b2

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	-	-2	-2	0	0	4	10	+	-2	-4	6	-6	6	0	10	-4	-4	0	8	-6	-2

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Quadratic twists for elliptic curve 4070b2

-4	-3	5	-11
32560n2	36630be2	20350z2	44770t2

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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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