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	7280o	Isogeny class
Conductor	7280	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	8469703983104000 = 218 · 53 · 76 · 133	Discriminant
Eigenvalues	2-  2 5+ 7+  0 13-  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-106176,12594176]	[a1,a2,a3,a4,a6]
Generators	[-352:2496:1]	Generators of the group modulo torsion
j	32318182904349889/2067798824000	j-invariant
L	5.282481161704	L(r)(E,1)/r!
Ω	0.40602257520812	Real period
R	2.1683856531853	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	910j3 29120cd3 65520dq3 36400bx3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280o3

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

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Quadratic twists for elliptic curve 7280o3

-4	8	-3	5	-7	13
910j3	29120cd3	65520dq3	36400bx3	50960bu3	94640dd3

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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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