Cremona's table of elliptic curves

14210 = 2 · 5 · 7² · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 29-	Signs for the Atkin-Lehner involutions
Class	14210n	Isogeny class
Conductor	14210	Conductor
∏ cp	54	Product of Tamagawa factors cp
deg	120960	Modular degree for the optimal curve
Δ	-28119546317800000 = -1 · 26 · 55 · 78 · 293	Discriminant
Eigenvalues	2- -2 5+ 7+ -3  2  3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,19844,7997520]	[a1,a2,a3,a4,a6]
Generators	[-94:2350:1]	Generators of the group modulo torsion
j	149908300031/4877800000	j-invariant
L	4.3696335443283	L(r)(E,1)/r!
Ω	0.28202961539968	Real period
R	2.5822545492464	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	113680w1 127890cg1 71050g1 14210t1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14210n1

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	+	+	-3	2	3	-4	-3	-	5	-7	6	-10	6	0	0	8	8	0	-7	-4	9	-12	2

---

Quadratic twists for elliptic curve 14210n1

-4	-3	5	-7
113680w1	127890cg1	71050g1	14210t1

---

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