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	1122a	Isogeny class
Conductor	1122	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	1181672448 = 210 · 3 · 113 · 172	Discriminant
Eigenvalues	2+ 3+  2 -2 11+  0 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-264,-192]	[a1,a2,a3,a4,a6]
Generators	[-16:24:1]	Generators of the group modulo torsion
j	2046931732873/1181672448	j-invariant
L	1.7821245974371	L(r)(E,1)/r!
Ω	1.292075571682	Real period
R	1.3792727271496	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8976bd1 35904bk1 3366q1 28050dc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1122a1

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

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Quadratic twists for elliptic curve 1122a1

-4	8	-3	5	-7	-11	17
8976bd1	35904bk1	3366q1	28050dc1	54978z1	12342u1	19074k1

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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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