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	14490o	Isogeny class
Conductor	14490	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	348588919998748800 = 27 · 36 · 52 · 710 · 232	Discriminant
Eigenvalues	2+ 3- 5+ 7-  2 -4  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-226080,30139776]	[a1,a2,a3,a4,a6]
Generators	[-387:7911:1]	Generators of the group modulo torsion
j	1753007192038126081/478174101507200	j-invariant
L	3.2949756980856	L(r)(E,1)/r!
Ω	0.28288373353153	Real period
R	0.58239045012434	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	115920dd2 1610g2 72450dv2 101430cc2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14490o2

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	-4	2	-4	+	2	-4	-8	2	10	12	4	-10	-14	10	16	6	-4	-12	6	-14

---

Quadratic twists for elliptic curve 14490o2

-4	-3	5	-7
115920dd2	1610g2	72450dv2	101430cc2

---

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