Cremona's table of elliptic curves

1127 = 7² · 23

Field	Data	Notes
Atkin-Lehner	7- 23+	Signs for the Atkin-Lehner involutions
Class	1127a	Isogeny class
Conductor	1127	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-230461096663 = -1 · 77 · 234	Discriminant
Eigenvalues	-1  0 -2 7-  4 -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,1289,-15018]	[a1,a2,a3,a4,a6]
j	2014698447/1958887	j-invariant
L	0.54109803803123	L(r)(E,1)/r!
Ω	0.54109803803123	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18032x4 72128b3 10143r4 28175i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1127a4

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
-1	0	-2	-	4	-6	2	-4	+	-2	4	-2	6	12	12	-10	0	-2	12	8	14	8	4	-6	10

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Quadratic twists for elliptic curve 1127a4

-4	8	-3	5	-7	-23
18032x4	72128b3	10143r4	28175i3	161a4	25921b3

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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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