Cremona's table of elliptic curves

14835 = 3 · 5 · 23 · 43

Field	Data	Notes
Atkin-Lehner	3+ 5- 23- 43+	Signs for the Atkin-Lehner involutions
Class	14835a	Isogeny class
Conductor	14835	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1395098235 = 38 · 5 · 23 · 432	Discriminant
Eigenvalues	-1 3+ 5-  0  4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1134055,-465308038]	[a1,a2,a3,a4,a6]
Generators	[6124387347980:-309948795276939:2077552576]	Generators of the group modulo torsion
j	161296925450666540436721/1395098235	j-invariant
L	2.9675474339284	L(r)(E,1)/r!
Ω	0.14629888737259	Real period
R	20.284142191531	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	44505b6 74175r6	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 14835a5

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	4	-2	2	4	-	-2	0	6	-6	+	0	6	-12	6	-4	16	-14	-8	4	-6	-14

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Quadratic twists for elliptic curve 14835a5

-3	5
44505b6	74175r6

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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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