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	192	Product of Tamagawa factors cp
deg	589824	Modular degree for the optimal curve
Δ	1906108281000000 = 26 · 38 · 56 · 74 · 112	Discriminant
Eigenvalues	2- 3- 5- 7+ 11-  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-56577,4734704]	[a1,a2,a3,a4,a6]
Generators	[-47:2700:1]	Generators of the group modulo torsion
j	429275354481856/40854515625	j-invariant
L	7.9743744273502	L(r)(E,1)/r!
Ω	0.45525045337505	Real period
R	1.4597046455657	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	110880du1 36960d1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 110880dq1

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 110880dq1

-4	-3
110880du1	36960d1

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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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