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	7140n	Isogeny class
Conductor	7140	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-31726603480320 = -1 · 28 · 36 · 5 · 76 · 172	Discriminant
Eigenvalues	2- 3- 5- 7+ -2  0 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,4620,-241020]	[a1,a2,a3,a4,a6]
Generators	[48:306:1]	Generators of the group modulo torsion
j	42590787180464/123932044845	j-invariant
L	5.0733940128359	L(r)(E,1)/r!
Ω	0.33768734815843	Real period
R	0.83466326017964	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	28560db2 114240l2 21420j2 35700l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7140n2

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	-	-2	4	-6	-2	-6	-10	-4	-8	-4	0	2	-4	14	4	-8	-4	18	-8

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Quadratic twists for elliptic curve 7140n2

-4	8	-3	5	-7	17
28560db2	114240l2	21420j2	35700l2	49980d2	121380h2

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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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