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	2	Product of Tamagawa factors cp
Δ	-1958887 = -1 · 7 · 234	Discriminant
Eigenvalues	-1  0  2 7-  4  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,26,36]	[a1,a2,a3,a4,a6]
j	2014698447/1958887	j-invariant
L	0.8628343267976	L(r)(E,1)/r!
Ω	1.7256686535952	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	2576l4 10304h4 1449e4 4025a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 161a4

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

---

Quadratic twists for elliptic curve 161a4

-4	8	-3	5	-7	-11	13	17	-19	-23
2576l4	10304h4	1449e4	4025a4	1127a4	19481b4	27209d3	46529d3	58121b3	3703a4

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations