Cremona's table of elliptic curves

14910 = 2 · 3 · 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 71+	Signs for the Atkin-Lehner involutions
Class	14910q	Isogeny class
Conductor	14910	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	834960 = 24 · 3 · 5 · 72 · 71	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1089,13732]	[a1,a2,a3,a4,a6]
Generators	[28:59:1]	Generators of the group modulo torsion
j	142637575594249/834960	j-invariant
L	4.5251332531084	L(r)(E,1)/r!
Ω	2.5076191784507	Real period
R	1.8045536148372	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	119280bc1 44730cj1 74550bu1 104370s1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910q1

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

---

Quadratic twists for elliptic curve 14910q1

-4	-3	5	-7
119280bc1	44730cj1	74550bu1	104370s1

---

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