Cremona's table of elliptic curves

14490 = 2 · 3² · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	14490b	Isogeny class
Conductor	14490	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	10240	Modular degree for the optimal curve
Δ	4999050000 = 24 · 33 · 55 · 7 · 232	Discriminant
Eigenvalues	2+ 3+ 5+ 7-  2  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1275,-16875]	[a1,a2,a3,a4,a6]
j	8493409990827/185150000	j-invariant
L	1.5999708908302	L(r)(E,1)/r!
Ω	0.79998544541512	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	115920cc1 14490bj1 72450cl1 101430l1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490b1

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	+	8	2	4	2	-8	12	10	-4	-8	-8	4	-6	8	6	6	-2

---

Quadratic twists for elliptic curve 14490b1

-4	-3	5	-7
115920cc1	14490bj1	72450cl1	101430l1

---

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