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	7140i	Isogeny class
Conductor	7140	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	2888844000000 = 28 · 3 · 56 · 72 · 173	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2 17+  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-78316,-8461516]	[a1,a2,a3,a4,a6]
j	207510838537157584/11284546875	j-invariant
L	2.5685048767886	L(r)(E,1)/r!
Ω	0.28538943075429	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	28560cc4 114240cb4 21420z4 35700f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7140i4

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	2	+	2	6	-6	-4	-4	6	2	0	0	12	8	14	0	2	8	-12	0	-10

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Quadratic twists for elliptic curve 7140i4

-4	8	-3	5	-7	17
28560cc4	114240cb4	21420z4	35700f4	49980o4	121380k4

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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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