Cremona's table of elliptic curves

10824 = 2³ · 3 · 11 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 41-	Signs for the Atkin-Lehner involutions
Class	10824l	Isogeny class
Conductor	10824	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-190976231424 = -1 · 211 · 3 · 11 · 414	Discriminant
Eigenvalues	2- 3-  2  0 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,848,19040]	[a1,a2,a3,a4,a6]
Generators	[21324:306865:1728]	Generators of the group modulo torsion
j	32890394014/93250113	j-invariant
L	6.2610153795646	L(r)(E,1)/r!
Ω	0.70853978347425	Real period
R	8.83650505673	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	21648c3 86592h3 32472f3 119064h3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 10824l4

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	0	-	2	-6	-4	0	2	-8	-2	-	-8	-8	-6	0	2	12	-8	-6	-8	-4	6	-6

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Quadratic twists for elliptic curve 10824l4

-4	8	-3	-11
21648c3	86592h3	32472f3	119064h3

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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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