Cremona's table of elliptic curves

14112 = 2⁵ · 3² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7-	Signs for the Atkin-Lehner involutions
Class	14112r	Isogeny class
Conductor	14112	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	349440	Modular degree for the optimal curve
Δ	-1.6809476981449E+20	Discriminant
Eigenvalues	2+ 3-  1 7- -1  0 -8  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1375773,-57715238]	[a1,a2,a3,a4,a6]
Generators	[497336686:-23870308932:456533]	Generators of the group modulo torsion
j	2731405432/1594323	j-invariant
L	4.9446822216378	L(r)(E,1)/r!
Ω	0.10688537074031	Real period
R	11.565385860081	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14112q1 28224fm1 4704bb1 14112l1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14112r1

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
+	-	1	-	-1	0	-8	4	-4	5	-7	8	4	10	6	1	9	2	2	-6	-2	-9	-3	-6	1

---

Quadratic twists for elliptic curve 14112r1

-4	8	-3	-7
14112q1	28224fm1	4704bb1	14112l1

---

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