Cremona's table of elliptic curves

103488 = 2⁶ · 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	103488fm	Isogeny class
Conductor	103488	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	2.1954122859763E+19	Discriminant
Eigenvalues	2- 3+ -2 7- 11+ -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-726049,-76450751]	[a1,a2,a3,a4,a6]
Generators	[1143:24200:1]	Generators of the group modulo torsion
j	5489767279588/2847396321	j-invariant
L	2.9468657351602	L(r)(E,1)/r!
Ω	0.17308556891832	Real period
R	4.256371210073	Regulator
r	1	Rank of the group of rational points
S	1.0000000018555	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	103488eb4 25872w4 14784cl3	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 103488fm4

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	-	+	-2	-2	-4	0	-6	-8	10	6	-12	-8	10	-12	-2	-4	0	6	0	12	-10	14

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Quadratic twists for elliptic curve 103488fm4

-4	8	-7
103488eb4	25872w4	14784cl3

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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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