Cremona's table of elliptic curves

322 = 2 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 7+ 23-	Signs for the Atkin-Lehner involutions
Conductor	322	Conductor
Count	2	Number of curves in isogeny class
Curves	322d1 322d2	Curves in isogeny class
deg	40	Modular degree for the optimal curve
Eigenvalues	2- -2 -2 7+ -2 -4 -6  0	Hecke eigenvalues for primes less than 20
L	1.6590507173596	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2576p 10304d 2898d 8050i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 322d

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

---

Quadratic twists for isogeny class 322d

-4	8	-3	5	-7	-11	13	17	-19	-23
2576p	10304d	2898d	8050i	2254f	38962q	54418d	93058m	116242g	7406i

---

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