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	546b	Isogeny class
Conductor	546	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	40	Modular degree for the optimal curve
Δ	-8736 = -1 · 25 · 3 · 7 · 13	Discriminant
Eigenvalues	2+ 3-  1 7+  3 13+  5  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-8,-10]	[a1,a2,a3,a4,a6]
j	-47045881/8736	j-invariant
L	1.4270848852578	L(r)(E,1)/r!
Ω	1.4270848852578	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4368r1 17472d1 1638o1 13650by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 546b1

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	+	3	+	5	1	3	5	4	-5	-8	-1	8	6	0	13	-10	8	-15	6	-2	-2	-2

---

Quadratic twists for elliptic curve 546b1

-4	8	-3	5	-7	-11	13
4368r1	17472d1	1638o1	13650by1	3822h1	66066cw1	7098bb1

---

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