Cremona's table of elliptic curves

14112 = 2⁵ · 3² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 7-	Signs for the Atkin-Lehner involutions
Class	14112bh	Isogeny class
Conductor	14112	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	637540872192 = 212 · 33 · 78	Discriminant
Eigenvalues	2- 3+  0 7-  4 -2  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-38220,2875712]	[a1,a2,a3,a4,a6]
Generators	[109:69:1]	Generators of the group modulo torsion
j	474552000/49	j-invariant
L	5.1217444091622	L(r)(E,1)/r!
Ω	0.87417293422324	Real period
R	2.9294800883495	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	14112bi2 28224dn1 14112d2 2016i2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 14112bh2

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

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Quadratic twists for elliptic curve 14112bh2

-4	8	-3	-7
14112bi2	28224dn1	14112d2	2016i2

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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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