Cremona's table of elliptic curves

7353 = 3² · 19 · 43

Field	Data	Notes
Atkin-Lehner	3+ 19+ 43+	Signs for the Atkin-Lehner involutions
Class	7353b	Isogeny class
Conductor	7353	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-54620267841 = -1 · 33 · 196 · 43	Discriminant
Eigenvalues	-1 3+ -2  0  0 -2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,259,-11194]	[a1,a2,a3,a4,a6]
Generators	[31:145:1]	Generators of the group modulo torsion
j	71421719949/2022972883	j-invariant
L	2.0813301219303	L(r)(E,1)/r!
Ω	0.54046503050603	Real period
R	3.8509986853018	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	117648u2 7353a2	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 7353b2

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	+	-2	0	0	-2	0	+	4	-6	2	12	-2	+	8	-10	12	-10	-6	16	2	-2	12	-14	-2

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Quadratic twists for elliptic curve 7353b2

-4	-3
117648u2	7353a2

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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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