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	7350w	Isogeny class
Conductor	7350	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	4766769826875000 = 23 · 33 · 57 · 710	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-7057251,-7216668602]	[a1,a2,a3,a4,a6]
Generators	[-1534:792:1]	Generators of the group modulo torsion
j	21145699168383889/2593080	j-invariant
L	3.7597882280398	L(r)(E,1)/r!
Ω	0.092627656034225	Real period
R	3.3825284918601	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	58800fd5 22050dz5 1470m4 1050a4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 7350w4

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

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Quadratic twists for elliptic curve 7350w4

-4	-3	5	-7
58800fd5	22050dz5	1470m4	1050a4

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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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