Cremona's table of elliptic curves

1106 = 2 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2+ 7+ 79-	Signs for the Atkin-Lehner involutions
Class	1106a	Isogeny class
Conductor	1106	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-34250608 = -1 · 24 · 73 · 792	Discriminant
Eigenvalues	2+  0 -2 7+  0  2 -4  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-98,-444]	[a1,a2,a3,a4,a6]
j	-104686895097/34250608	j-invariant
L	0.74591834399142	L(r)(E,1)/r!
Ω	0.74591834399142	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	8848d1 35392a1 9954b1 27650be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1106a1

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

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Quadratic twists for elliptic curve 1106a1

-4	8	-3	5	-7	-79
8848d1	35392a1	9954b1	27650be1	7742e1	87374g1

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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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