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	14350a	Isogeny class
Conductor	14350	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-287000000 = -1 · 26 · 56 · 7 · 41	Discriminant
Eigenvalues	2+  0 5+ 7+ -2  6  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,83,741]	[a1,a2,a3,a4,a6]
Generators	[-5:16:1]	Generators of the group modulo torsion
j	4019679/18368	j-invariant
L	3.2905256453307	L(r)(E,1)/r!
Ω	1.2420113773579	Real period
R	2.6493522566038	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	114800bo1 129150cs1 574h1 100450p1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14350a1

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
+	0	+	+	-2	6	6	4	-8	-8	0	2	+	8	0	0	2	-8	-10	-12	-10	16	2	-10	2

---

Quadratic twists for elliptic curve 14350a1

-4	-3	5	-7
114800bo1	129150cs1	574h1	100450p1

---

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