Cremona's table of elliptic curves

4550 = 2 · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 13-	Signs for the Atkin-Lehner involutions
Class	4550l	Isogeny class
Conductor	4550	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-16893831500 = -1 · 22 · 53 · 7 · 136	Discriminant
Eigenvalues	2+  0 5- 7+  0 13-  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,518,4176]	[a1,a2,a3,a4,a6]
Generators	[9:93:1]	Generators of the group modulo torsion
j	122837590611/135150652	j-invariant
L	2.5593068159299	L(r)(E,1)/r!
Ω	0.81955662752257	Real period
R	0.52046572703308	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	36400cv2 40950fc2 4550y2 31850bi2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4550l2

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

---

Quadratic twists for elliptic curve 4550l2

-4	-3	5	-7	13
36400cv2	40950fc2	4550y2	31850bi2	59150cf2

---

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