Cremona's table of elliptic curves

110400 = 2⁶ · 3 · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	110400hm	Isogeny class
Conductor	110400	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	1236197376000000 = 219 · 38 · 56 · 23	Discriminant
Eigenvalues	2- 3- 5+  0  0 -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-395233,-95754337]	[a1,a2,a3,a4,a6]
Generators	[-361:96:1]	Generators of the group modulo torsion
j	1666957239793/301806	j-invariant
L	7.8177479263899	L(r)(E,1)/r!
Ω	0.19041049485923	Real period
R	1.2830417875949	Regulator
r	1	Rank of the group of rational points
S	1.0000000040878	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	110400v4 27600be4 4416w3	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 110400hm4

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
-	-	+	0	0	-2	-2	-8	+	2	8	2	10	-8	8	2	-4	-2	-8	0	6	-8	16	18	-10

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Quadratic twists for elliptic curve 110400hm4

-4	8	5
110400v4	27600be4	4416w3

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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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