Cremona's table of elliptic curves

112 = 2⁴ · 7

Field	Data	Notes
Atkin-Lehner	2- 7+	Signs for the Atkin-Lehner involutions
Class	112c	Isogeny class
Conductor	112	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-7516192768 = -1 · 230 · 7	Discriminant
Eigenvalues	2-  2  0 7+  0 -4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2728,55920]	[a1,a2,a3,a4,a6]
j	-548347731625/1835008	j-invariant
L	1.3254912396825	L(r)(E,1)/r!
Ω	1.3254912396825	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14a3 448f5 1008i5 2800v5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 112c5

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

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Quadratic twists for elliptic curve 112c5

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
14a3	448f5	1008i5	2800v5	784j5	13552ba5	18928z5	32368bd5	40432r5	59248bb5	94192v5	107632i5

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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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