Cremona's table of elliptic curves

110880 = 2⁵ · 3² · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	110880dq	Isogeny class
Conductor	110880	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	803314423296000 = 212 · 37 · 53 · 72 · 114	Discriminant
Eigenvalues	2- 3- 5- 7+ 11-  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-883452,319608704]	[a1,a2,a3,a4,a6]
Generators	[-182:21780:1]	Generators of the group modulo torsion
j	25537895799171904/269028375	j-invariant
L	7.9743744273502	L(r)(E,1)/r!
Ω	0.45525045337505	Real period
R	0.72985232278283	Regulator
r	1	Rank of the group of rational points
S	1.0000000008905	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	110880du4 36960d4	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 110880dq4

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
-	-	-	+	-	6	2	-4	-4	-6	8	-6	10	4	-4	-10	4	-2	-12	8	-10	-4	0	-2	-14

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Quadratic twists for elliptic curve 110880dq4

-4	-3
110880du4	36960d4

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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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