Cremona's table of elliptic curves

4784 = 2⁴ · 13 · 23

Field	Data	Notes
Atkin-Lehner	2- 13+ 23+	Signs for the Atkin-Lehner involutions
Class	4784b	Isogeny class
Conductor	4784	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-653665782016 = -1 · 28 · 136 · 232	Discriminant
Eigenvalues	2-  0 -2 -2 -2 13+ -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,2089,-12750]	[a1,a2,a3,a4,a6]
j	3938211778608/2553381961	j-invariant
L	0.52007450620923	L(r)(E,1)/r!
Ω	0.52007450620923	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	1196a2 19136w2 43056bf2 119600bn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4784b2

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	+	-2	2	+	2	6	-10	-6	-4	-6	-10	-6	-2	10	6	-6	12	10	6	6

---

Quadratic twists for elliptic curve 4784b2

-4	8	-3	5	13	-23
1196a2	19136w2	43056bf2	119600bn2	62192i2	110032e2

---

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