Cremona's table of elliptic curves

14560 = 2⁵ · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 7- 13-	Signs for the Atkin-Lehner involutions
Class	14560h	Isogeny class
Conductor	14560	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-15136873024000000 = -1 · 212 · 56 · 72 · 136	Discriminant
Eigenvalues	2+  2 5- 7- -2 13- -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-365905,-85275903]	[a1,a2,a3,a4,a6]
j	-1322726283049957696/3695525640625	j-invariant
L	3.4934714752659	L(r)(E,1)/r!
Ω	0.09704087431294	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	14560f2 29120bs1 72800bj2 101920e2	Quadratic twists by: -4 8 5 -7

Hecke Eigenvalues for elliptic curve 14560h2

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	-6	-2	2	10	10	-10	2	8	-14	14	10	-4	6	6	4	16	6	10

---

Quadratic twists for elliptic curve 14560h2

-4	8	5	-7
14560f2	29120bs1	72800bj2	101920e2

---

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