Cremona's table of elliptic curves

442 = 2 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 13+ 17+	Signs for the Atkin-Lehner involutions
Conductor	442	Conductor
Count	2	Number of curves in isogeny class
Curves	442d1 442d2	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2-  2 -2  2  4 13+ 17+ -4	Hecke eigenvalues for primes less than 20
L	2.7807390608133	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3536g 14144h 3978c 11050j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 442d

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

---

Quadratic twists for isogeny class 442d

-4	8	-3	5	-7	-11	13	17
3536g	14144h	3978c	11050j	21658bf	53482f	5746c	7514g

---

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