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	8	Product of Tamagawa factors cp
Δ	10296125000 = 23 · 56 · 72 · 412	Discriminant
Eigenvalues	2+  0 5+ 7+ -2  6  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-917,9741]	[a1,a2,a3,a4,a6]
Generators	[-31:103:1]	Generators of the group modulo torsion
j	5461074081/658952	j-invariant
L	3.2905256453307	L(r)(E,1)/r!
Ω	1.2420113773579	Real period
R	1.3246761283019	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	114800bo2 129150cs2 574h2 100450p2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14350a2

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

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Quadratic twists for elliptic curve 14350a2

-4	-3	5	-7
114800bo2	129150cs2	574h2	100450p2

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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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