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	546c	Isogeny class
Conductor	546	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	96589584 = 24 · 36 · 72 · 132	Discriminant
Eigenvalues	2+ 3- -2 7+ -4 13- -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-137,380]	[a1,a2,a3,a4,a6]
Generators	[-6:34:1]	Generators of the group modulo torsion
j	281397674377/96589584	j-invariant
L	1.6107831676244	L(r)(E,1)/r!
Ω	1.7445566570829	Real period
R	0.3077731642372	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4368t2 17472a2 1638q2 13650bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 546c2

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

---

Quadratic twists for elliptic curve 546c2

-4	8	-3	5	-7	-11	13
4368t2	17472a2	1638q2	13650bw2	3822d2	66066ct2	7098bd2

---

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