Cremona's table of elliptic curves

4026 = 2 · 3 · 11 · 61

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 61+	Signs for the Atkin-Lehner involutions
Class	4026f	Isogeny class
Conductor	4026	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	23520	Modular degree for the optimal curve
Δ	-1698515543328384 = -1 · 27 · 3 · 117 · 613	Discriminant
Eigenvalues	2- 3+ -1  2 11+ -3  8  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,5104,1980017]	[a1,a2,a3,a4,a6]
j	14704504384534271/1698515543328384	j-invariant
L	2.5400884987625	L(r)(E,1)/r!
Ω	0.3628697855375	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	32208p1 128832v1 12078k1 100650q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4026f1

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	2	+	-3	8	4	4	-9	-3	6	3	4	0	8	-3	+	4	6	12	-4	4	-17	13

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Quadratic twists for elliptic curve 4026f1

-4	8	-3	5	-11
32208p1	128832v1	12078k1	100650q1	44286d1

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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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