Cremona's table of elliptic curves

1122 = 2 · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11- 17+	Signs for the Atkin-Lehner involutions
Class	1122b	Isogeny class
Conductor	1122	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	6915442583808 = 28 · 35 · 113 · 174	Discriminant
Eigenvalues	2+ 3+  2  4 11-  6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-8279,-264363]	[a1,a2,a3,a4,a6]
j	62768149033310713/6915442583808	j-invariant
L	1.5122187932444	L(r)(E,1)/r!
Ω	0.50407293108147	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	8976x1 35904bb1 3366o1 28050do1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122b1

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	-	6	+	4	0	2	0	-10	-10	-4	4	-2	0	2	12	0	-10	4	-12	-14	18

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Quadratic twists for elliptic curve 1122b1

-4	8	-3	5	-7	-11	17
8976x1	35904bb1	3366o1	28050do1	54978bh1	12342v1	19074j1

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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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