Cremona's table of elliptic curves

11242 = 2 · 7 · 11 · 73

Field	Data	Notes
Atkin-Lehner	2+ 7+ 11+ 73-	Signs for the Atkin-Lehner involutions
Class	11242b	Isogeny class
Conductor	11242	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	411840	Modular degree for the optimal curve
Δ	1.2961948254043E+21	Discriminant
Eigenvalues	2+  0  1 7+ 11+  2  6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3394004,-1669963568]	[a1,a2,a3,a4,a6]
j	4323752573967079063256601/1296194825404320579584	j-invariant
L	1.1380751029188	L(r)(E,1)/r!
Ω	0.11380751029188	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	89936z1 101178bp1 78694b1 123662bc1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11242b1

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	1	+	+	2	6	-1	-1	3	-7	5	-11	-3	-3	-4	8	11	3	7	-	10	14	-6	-14

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Quadratic twists for elliptic curve 11242b1

-4	-3	-7	-11
89936z1	101178bp1	78694b1	123662bc1

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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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