Cremona's table of elliptic curves

3096 = 2³ · 3² · 43

Field	Data	Notes
Atkin-Lehner	2+ 3- 43+	Signs for the Atkin-Lehner involutions
Class	3096c	Isogeny class
Conductor	3096	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	-129802074891264 = -1 · 210 · 313 · 433	Discriminant
Eigenvalues	2+ 3- -1  3 -1  1  4  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3603,-554434]	[a1,a2,a3,a4,a6]
j	-6929294404/173881809	j-invariant
L	2.0291072725431	L(r)(E,1)/r!
Ω	0.25363840906789	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6192h1 24768z1 1032b1 77400bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3096c1

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	3	-1	1	4	5	-4	3	2	6	0	+	-3	-4	-4	4	14	4	4	10	-5	6	-7

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Quadratic twists for elliptic curve 3096c1

-4	8	-3	5
6192h1	24768z1	1032b1	77400bo1

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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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