Cremona's table of elliptic curves

161 = 7 · 23

Field	Data	Notes
Atkin-Lehner	7- 23+	Signs for the Atkin-Lehner involutions
Class	161a	Isogeny class
Conductor	161	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	10	Modular degree for the optimal curve
Δ	25921 = 72 · 232	Discriminant
Eigenvalues	-1  0  2 7-  4  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-9,8]	[a1,a2,a3,a4,a6]
j	72511713/25921	j-invariant
L	0.8628343267976	L(r)(E,1)/r!
Ω	3.4513373071904	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2576l2 10304h2 1449e2 4025a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 161a1

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
-1	0	2	-	4	6	-2	4	+	-2	-4	-2	-6	12	-12	-10	0	2	12	8	-14	8	-4	6	-10

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Quadratic twists for elliptic curve 161a1

-4	8	-3	5	-7	-11	13	17	-19	-23
2576l2	10304h2	1449e2	4025a2	1127a2	19481b2	27209d2	46529d2	58121b2	3703a2

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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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