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	10164u	Isogeny class
Conductor	10164	Conductor
∏ cp	180	Product of Tamagawa factors cp
deg	43200	Modular degree for the optimal curve
Δ	-25987779450864 = -1 · 24 · 35 · 73 · 117	Discriminant
Eigenvalues	2- 3- -1 7- 11- -1 -4 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-206466,36041553]	[a1,a2,a3,a4,a6]
Generators	[-114:7623:1]	Generators of the group modulo torsion
j	-34339609640704/916839	j-invariant
L	5.1264097022537	L(r)(E,1)/r!
Ω	0.62161233372712	Real period
R	0.045816423446179	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40656bg1 30492bd1 71148p1 924f1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 10164u1

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	-	-	-1	-4	-3	6	-7	4	1	4	2	7	10	-9	2	-9	-4	9	-16	-4	-2	-14

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Quadratic twists for elliptic curve 10164u1

-4	-3	-7	-11
40656bg1	30492bd1	71148p1	924f1

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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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