Cremona's table of elliptic curves

4672 = 2⁶ · 73

Field	Data	Notes
Atkin-Lehner	2+ 73-	Signs for the Atkin-Lehner involutions
Class	4672a	Isogeny class
Conductor	4672	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1396965376 = -1 · 218 · 732	Discriminant
Eigenvalues	2+  0 -2  2  2  6  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,244,-1040]	[a1,a2,a3,a4,a6]
j	6128487/5329	j-invariant
L	1.6725344724552	L(r)(E,1)/r!
Ω	0.8362672362276	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	4672d2 73a1 42048z2 116800b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4672a2

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

---

Quadratic twists for elliptic curve 4672a2

-4	8	-3	5
4672d2	73a1	42048z2	116800b2

---

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