Cremona's table of elliptic curves

8800 = 2⁵ · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	8800t	Isogeny class
Conductor	8800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	17600000000 = 212 · 58 · 11	Discriminant
Eigenvalues	2- -2 5+ -4 11+ -4 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1633,-25137]	[a1,a2,a3,a4,a6]
Generators	[-23:28:1] [-22:25:1]	Generators of the group modulo torsion
j	7529536/275	j-invariant
L	4.0144872553538	L(r)(E,1)/r!
Ω	0.75267128601289	Real period
R	2.6668263622896	Regulator
r	2	Rank of the group of rational points
S	0.99999999999966	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8800z2 17600cl1 79200bz2 1760e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8800t2

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

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Quadratic twists for elliptic curve 8800t2

-4	8	-3	5	-11
8800z2	17600cl1	79200bz2	1760e2	96800z2

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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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