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	5046c	Isogeny class
Conductor	5046	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	243600	Modular degree for the optimal curve
Δ	7.6565218737717E+19	Discriminant
Eigenvalues	2+ 3+  0 -3  6  6 -5  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1100045,-141792579]	[a1,a2,a3,a4,a6]
j	294287421625/153055008	j-invariant
L	1.2485582756931	L(r)(E,1)/r!
Ω	0.15606978446163	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40368bn1 15138ba1 126150dc1 5046m1	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 5046c1

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	-3	6	6	-5	8	1	-	7	6	10	-6	3	-2	10	6	-6	-9	-1	-11	-6	-11	-3

---

Quadratic twists for elliptic curve 5046c1

-4	-3	5	29
40368bn1	15138ba1	126150dc1	5046m1

---

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