Cremona's table of elliptic curves

5046 = 2 · 3 · 29²

Field	Data	Notes
Atkin-Lehner	2- 3+ 29+	Signs for the Atkin-Lehner involutions
Class	5046h	Isogeny class
Conductor	5046	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	2524243399801206 = 2 · 3 · 2910	Discriminant
Eigenvalues	2- 3+  2  0  4  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-41647,2186831]	[a1,a2,a3,a4,a6]
j	13430356633/4243686	j-invariant
L	3.8045266155513	L(r)(E,1)/r!
Ω	0.4227251795057	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	40368bg3 15138g3 126150w3 174d4	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 5046h4

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	0	4	6	2	-4	0	+	4	6	-6	12	8	-6	8	-10	-4	-8	-2	-4	0	-14	-18

---

Quadratic twists for elliptic curve 5046h4

-4	-3	5	29
40368bg3	15138g3	126150w3	174d4

---

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