Cremona's table of elliptic curves

546 = 2 · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 13+	Signs for the Atkin-Lehner involutions
Class	546f	Isogeny class
Conductor	546	Conductor
∏ cp	343	Product of Tamagawa factors cp
deg	1176	Modular degree for the optimal curve
Δ	-2997011332224 = -1 · 27 · 37 · 77 · 13	Discriminant
Eigenvalues	2- 3- -1 7-  5 13+ -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,714,-82908]	[a1,a2,a3,a4,a6]
j	40251338884511/2997011332224	j-invariant
L	2.6715677590972	L(r)(E,1)/r!
Ω	0.38165253701388	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	7	Number of elements in the torsion subgroup
Twists	4368n1 17472m1 1638h1 13650f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 546f1

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
-	-	-1	-	5	+	-3	-1	3	9	4	-11	0	-5	-8	-2	4	-15	-2	-12	11	10	-14	6	-14

---

Quadratic twists for elliptic curve 546f1

-4	8	-3	5	-7	-11	13
4368n1	17472m1	1638h1	13650f1	3822v1	66066v1	7098i1

---

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