Cremona's table of elliptic curves

2312 = 2³ · 17²

Field	Data	Notes
Atkin-Lehner	2+ 17+	Signs for the Atkin-Lehner involutions
Conductor	2312	Conductor
Count	2	Number of curves in isogeny class
Curves	2312a1 2312a2	Curves in isogeny class
deg	256	Modular degree for the optimal curve
Eigenvalues	2+  2  0 -2 -2 -2 17+ -4	Hecke eigenvalues for primes less than 20
L	3.931219239098	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4624c 18496f 20808bf 57800w	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2312a

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	-2	-2	+	-4	6	-8	-6	8	0	12	-8	-6	-4	-8	4	-6	8	-2	4	-14	8

---

Quadratic twists for isogeny class 2312a

-4	8	-3	5	-7	17
4624c	18496f	20808bf	57800w	113288m	2312b

---

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