Cremona's table of elliptic curves

7350 = 2 · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	7350bc	Isogeny class
Conductor	7350	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	662051364843750 = 2 · 3 · 58 · 710	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2352980026,43931247491198]	[a1,a2,a3,a4,a6]
Generators	[1669796778:1637850089:59319]	Generators of the group modulo torsion
j	783736670177727068275201/360150	j-invariant
L	3.5284218689471	L(r)(E,1)/r!
Ω	0.14567175905553	Real period
R	12.110864493652	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	58800fz8 22050eo8 1470k7 1050c7	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7350bc7

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

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Quadratic twists for elliptic curve 7350bc7

-4	-3	5	-7
58800fz8	22050eo8	1470k7	1050c7

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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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