Cremona's table of elliptic curves

7140 = 2² · 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 17+	Signs for the Atkin-Lehner involutions
Class	7140p	Isogeny class
Conductor	7140	Conductor
∏ cp	480	Product of Tamagawa factors cp
Δ	-2867602500000000 = -1 · 28 · 34 · 510 · 72 · 172	Discriminant
Eigenvalues	2- 3- 5- 7- -2 -2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,3460,2576388]	[a1,a2,a3,a4,a6]
Generators	[-104:1050:1]	Generators of the group modulo torsion
j	17889018719024/11201572265625	j-invariant
L	5.2743007897006	L(r)(E,1)/r!
Ω	0.35249484882705	Real period
R	0.12468978405526	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	28560cr2 114240y2 21420r2 35700i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7140p2

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	+	0	-4	-6	-2	-6	-2	-2	2	10	0	-10	-10	2	-14	-6	-14	6	14

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Quadratic twists for elliptic curve 7140p2

-4	8	-3	5	-7	17
28560cr2	114240y2	21420r2	35700i2	49980h2	121380d2

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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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