Cremona's table of elliptic curves

10164 = 2² · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	10164l	Isogeny class
Conductor	10164	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	570240	Modular degree for the optimal curve
Δ	2.1965864964556E+21	Discriminant
Eigenvalues	2- 3+ -1 7- 11- -2 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9096941,10320150249]	[a1,a2,a3,a4,a6]
j	12538427613184/330812181	j-invariant
L	0.72911499279473	L(r)(E,1)/r!
Ω	0.14582299855895	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	40656ck1 30492be1 71148bz1 10164e1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10164l1

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	-4	-2	-8	-10	-6	6	7	13	-8	-11	2	11	14	14	-4	-7	1	12

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Quadratic twists for elliptic curve 10164l1

-4	-3	-7	-11
40656ck1	30492be1	71148bz1	10164e1

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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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