Cremona's table of elliptic curves

1184 = 2⁵ · 37

Field	Data	Notes
Atkin-Lehner	2+ 37+	Signs for the Atkin-Lehner involutions
Class	1184a	Isogeny class
Conductor	1184	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-5607424 = -1 · 212 · 372	Discriminant
Eigenvalues	2+  0  2 -4  0  2  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-44,-160]	[a1,a2,a3,a4,a6]
Generators	[10:20:1]	Generators of the group modulo torsion
j	-2299968/1369	j-invariant
L	2.5930154131742	L(r)(E,1)/r!
Ω	0.90224665791964	Real period
R	1.4369770120031	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	1184e2 2368e1 10656q2 29600r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1184a2

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	-4	0	2	2	-2	-6	-6	-2	+	-2	-2	-4	-6	6	-6	-8	-4	14	2	-4	-6	10

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Quadratic twists for elliptic curve 1184a2

-4	8	-3	5	-7	37
1184e2	2368e1	10656q2	29600r2	58016a2	43808k2

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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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