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	7140b	Isogeny class
Conductor	7140	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	201600	Modular degree for the optimal curve
Δ	-9.3903621696353E+19	Discriminant
Eigenvalues	2- 3+ 5+ 7+ -4 -2 17+ -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,974619,282903030]	[a1,a2,a3,a4,a6]
j	6398938035881268740096/5868976356022071915	j-invariant
L	0.37294331983092	L(r)(E,1)/r!
Ω	0.12431443994364	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	28560dl1 114240ee1 21420u1 35700bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7140b1

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

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Quadratic twists for elliptic curve 7140b1

-4	8	-3	5	-7	17
28560dl1	114240ee1	21420u1	35700bm1	49980bg1	121380bi1

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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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