Cremona's table of elliptic curves

7392 = 2⁵ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	7392j	Isogeny class
Conductor	7392	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1259360256 = -1 · 212 · 3 · 7 · 114	Discriminant
Eigenvalues	2- 3+ -2 7+ 11- -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-49,1729]	[a1,a2,a3,a4,a6]
Generators	[3:40:1]	Generators of the group modulo torsion
j	-3241792/307461	j-invariant
L	2.8282706957102	L(r)(E,1)/r!
Ω	1.2597164842767	Real period
R	2.245164472333	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7392f4 14784w1 22176b2 51744cm2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7392j4

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

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Quadratic twists for elliptic curve 7392j4

-4	8	-3	-7	-11
7392f4	14784w1	22176b2	51744cm2	81312n2

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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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