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	14350p	Isogeny class
Conductor	14350	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	207360	Modular degree for the optimal curve
Δ	84428225000000 = 26 · 58 · 72 · 413	Discriminant
Eigenvalues	2-  2 5+ 7+  0 -2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1758588,896890781]	[a1,a2,a3,a4,a6]
Generators	[729:1357:1]	Generators of the group modulo torsion
j	38494263748526418169/5403406400	j-invariant
L	9.6067104232591	L(r)(E,1)/r!
Ω	0.47337014027709	Real period
R	0.5637302495602	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	114800cb1 129150o1 2870d1 100450bm1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14350p1

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	+	+	0	-2	0	-4	0	0	-4	10	-	-8	-12	-6	12	-10	10	-6	-14	-10	12	6	4

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Quadratic twists for elliptic curve 14350p1

-4	-3	5	-7
114800cb1	129150o1	2870d1	100450bm1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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