Cremona's table of elliptic curves

2703 = 3 · 17 · 53

Field	Data	Notes
Atkin-Lehner	3- 17- 53-	Signs for the Atkin-Lehner involutions
Class	2703d	Isogeny class
Conductor	2703	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	264	Modular degree for the optimal curve
Δ	2703 = 3 · 17 · 53	Discriminant
Eigenvalues	1 3-  4 -3  4  5 17- -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4,-1]	[a1,a2,a3,a4,a6]
j	4826809/2703	j-invariant
L	3.7452217775457	L(r)(E,1)/r!
Ω	3.7452217775457	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	43248w1 8109d1 67575a1 45951e1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 2703d1

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	-	4	-3	4	5	-	-1	-3	9	-8	-10	-6	10	9	-	3	-11	-1	8	7	0	6	16	4

---

Quadratic twists for elliptic curve 2703d1

-4	-3	5	17
43248w1	8109d1	67575a1	45951e1

---

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