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	7392f	Isogeny class
Conductor	7392	Conductor
∏ cp	4	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	[2596:16275:64]	Generators of the group modulo torsion
j	-3241792/307461	j-invariant
L	4.5157717981329	L(r)(E,1)/r!
Ω	0.67760202260645	Real period
R	6.6643422650403	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	7392j4 14784t1 22176x2 51744g2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7392f4

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 7392f4

-4	8	-3	-7	-11
7392j4	14784t1	22176x2	51744g2	81312bo2

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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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