Cremona's table of elliptic curves

897 = 3 · 13 · 23

Field	Data	Notes
Atkin-Lehner	3+ 13- 23+	Signs for the Atkin-Lehner involutions
Class	897b	Isogeny class
Conductor	897	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	23868478413 = 38 · 13 · 234	Discriminant
Eigenvalues	-1 3+  2  4  0 13-  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-962,8354]	[a1,a2,a3,a4,a6]
j	98463924947233/23868478413	j-invariant
L	1.1256932605428	L(r)(E,1)/r!
Ω	1.1256932605428	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14352bk4 57408bd3 2691d4 22425m3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 897b3

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
-1	+	2	4	0	-	2	0	+	-2	8	-6	2	4	-8	6	-4	14	8	8	2	16	0	-10	-2

---

Quadratic twists for elliptic curve 897b3

-4	8	-3	5	-7	-11	13	-23
14352bk4	57408bd3	2691d4	22425m3	43953u3	108537c3	11661a3	20631d4

---

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