Cremona's table of elliptic curves

1168 = 2⁴ · 73

Field	Data	Notes
Atkin-Lehner	2- 73-	Signs for the Atkin-Lehner involutions
Class	1168a	Isogeny class
Conductor	1168	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-21827584 = -1 · 212 · 732	Discriminant
Eigenvalues	2-  0  2 -2  2 -6  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,61,130]	[a1,a2,a3,a4,a6]
Generators	[7:30:1]	Generators of the group modulo torsion
j	6128487/5329	j-invariant
L	2.6398135707442	L(r)(E,1)/r!
Ω	1.3963921514705	Real period
R	1.8904528845742	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	73a1 4672d2 10512w2 29200h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1168a2

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

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Quadratic twists for elliptic curve 1168a2

-4	8	-3	5	-7	73
73a1	4672d2	10512w2	29200h2	57232h2	85264a2

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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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