Cremona's table of elliptic curves

342 = 2 · 3² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 19+	Signs for the Atkin-Lehner involutions
Conductor	342	Conductor
Count	2	Number of curves in isogeny class
Curves	342e1 342e2	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -2  0 -2 -4  0 19+	Hecke eigenvalues for primes less than 20
L	1.2390587276749	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2736l 10944e 342d 8550s	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 342e

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	-4	0	+	-8	2	-2	-8	2	4	4	-2	0	-10	0	16	6	14	6	18	10

---

Quadratic twists for isogeny class 342e

-4	8	-3	5	-7	-11	13	17	-19
2736l	10944e	342d	8550s	16758d	41382bm	57798bb	98838c	6498p

---

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