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	7140m	Isogeny class
Conductor	7140	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	4915890000 = 24 · 35 · 54 · 7 · 172	Discriminant
Eigenvalues	2- 3- 5- 7+  0 -6 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-425,0]	[a1,a2,a3,a4,a6]
Generators	[85:-765:1]	Generators of the group modulo torsion
j	531853459456/307243125	j-invariant
L	4.970170507936	L(r)(E,1)/r!
Ω	1.1612951593684	Real period
R	0.142661707429	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	28560da1 114240j1 21420i1 35700k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7140m1

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
-	-	-	+	0	-6	-	-2	-4	0	4	10	-2	0	8	-6	4	-8	-4	-8	0	-8	-16	-10	-12

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Quadratic twists for elliptic curve 7140m1

-4	8	-3	5	-7	17
28560da1	114240j1	21420i1	35700k1	49980b1	121380g1

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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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