Cremona's table of elliptic curves

4692 = 2² · 3 · 17 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 17- 23+	Signs for the Atkin-Lehner involutions
Class	4692d	Isogeny class
Conductor	4692	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-20719872 = -1 · 28 · 32 · 17 · 232	Discriminant
Eigenvalues	2- 3-  2  4  4  2 17- -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,68,68]	[a1,a2,a3,a4,a6]
j	133846832/80937	j-invariant
L	3.9736042537652	L(r)(E,1)/r!
Ω	1.3245347512551	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	18768s2 75072t2 14076e2 117300e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4692d2

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

---

Quadratic twists for elliptic curve 4692d2

-4	8	-3	5	17	-23
18768s2	75072t2	14076e2	117300e2	79764f2	107916i2

---

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