Cremona's table of elliptic curves

14350 = 2 · 5² · 7 · 41

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 41+	Signs for the Atkin-Lehner involutions
Class	14350r	Isogeny class
Conductor	14350	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	8968750 = 2 · 56 · 7 · 41	Discriminant
Eigenvalues	2-  1 5+ 7-  0 -2  5 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-63,-133]	[a1,a2,a3,a4,a6]
Generators	[-428:255:64]	Generators of the group modulo torsion
j	1771561/574	j-invariant
L	8.4864062451562	L(r)(E,1)/r!
Ω	1.7380893810277	Real period
R	4.8826063479764	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	114800bc1 129150bj1 574a1 100450bt1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14350r1

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	+	-	0	-2	5	-4	-6	-9	3	8	+	-7	10	13	-14	-5	-4	-15	6	-3	-16	13	-17

---

Quadratic twists for elliptic curve 14350r1

-4	-3	5	-7
114800bc1	129150bj1	574a1	100450bt1

---

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