Cremona's table of elliptic curves

7280 = 2⁴ · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	7280f	Isogeny class
Conductor	7280	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	1323391247360 = 210 · 5 · 76 · 133	Discriminant
Eigenvalues	2+  0 5- 7+  2 13+ -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2747,2746]	[a1,a2,a3,a4,a6]
j	2238719766084/1292374265	j-invariant
L	1.4584554496693	L(r)(E,1)/r!
Ω	0.72922772483463	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3640g1 29120bm1 65520n1 36400m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280f1

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

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Quadratic twists for elliptic curve 7280f1

-4	8	-3	5	-7	13
3640g1	29120bm1	65520n1	36400m1	50960d1	94640j1

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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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