Cremona's table of elliptic curves

5168 = 2⁴ · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 17- 19+	Signs for the Atkin-Lehner involutions
Conductor	5168	Conductor
Count	4	Number of curves in isogeny class
Curves	5168j1 5168j2 5168j3 5168j4	Curves in isogeny class
deg	4608	Modular degree for the optimal curve
Eigenvalues	2-  2  0 -2  0  2 17- 19+	Hecke eigenvalues for primes less than 20
L	5.0374040158312	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	646e 20672bg 46512v 129200bl	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 5168j

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	0	-2	0	2	-	+	-6	6	-8	2	0	4	-12	-6	0	-4	4	-12	-10	16	12	6	8

---

Quadratic twists for isogeny class 5168j

-4	8	-3	5	17	-19
646e	20672bg	46512v	129200bl	87856k	98192x

---

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