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
Δ	315581882565708 = 22 · 320 · 113 · 17	Discriminant
Eigenvalues	2+ 3+  2  4 11-  6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-483939,129374577]	[a1,a2,a3,a4,a6]
j	12534210458299016895673/315581882565708	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	8976x3 35904bb4 3366o3 28050do4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122b3

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 1122b3

-4	8	-3	5	-7	-11	17
8976x3	35904bb4	3366o3	28050do4	54978bh4	12342v3	19074j3

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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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