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	7280h	Isogeny class
Conductor	7280	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	4480	Modular degree for the optimal curve
Δ	-11186739200 = -1 · 211 · 52 · 75 · 13	Discriminant
Eigenvalues	2+  1 5- 7-  3 13+ -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-840,10388]	[a1,a2,a3,a4,a6]
Generators	[-14:140:1]	Generators of the group modulo torsion
j	-32044133522/5462275	j-invariant
L	5.3030017456707	L(r)(E,1)/r!
Ω	1.2293169079362	Real period
R	0.10784448077293	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3640e1 29120bv1 65520x1 36400d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280h1

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
+	1	-	-	3	+	-6	6	-5	-6	-7	-3	3	-2	-13	4	0	5	-7	0	-11	-17	-2	6	-13

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Quadratic twists for elliptic curve 7280h1

-4	8	-3	5	-7	13
3640e1	29120bv1	65520x1	36400d1	50960e1	94640c1

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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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