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	24	Product of Tamagawa factors cp
Δ	-51859390496937804 = -1 · 22 · 35 · 1112 · 17	Discriminant
Eigenvalues	2+ 3+  2  4 11-  6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,51221,10028185]	[a1,a2,a3,a4,a6]
j	14861225463775641287/51859390496937804	j-invariant
L	1.5122187932444	L(r)(E,1)/r!
Ω	0.25203646554074	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	8976x4 35904bb3 3366o4 28050do3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122b4

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 1122b4

-4	8	-3	5	-7	-11	17
8976x4	35904bb3	3366o4	28050do3	54978bh3	12342v4	19074j4

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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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