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	7140j	Isogeny class
Conductor	7140	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	-2.6137001953125E+21	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11018316,-14294301516]	[a1,a2,a3,a4,a6]
Generators	[4509810:-166606671:1000]	Generators of the group modulo torsion
j	-577869079500481648517584/10209766387939453125	j-invariant
L	4.7091392141574	L(r)(E,1)/r!
Ω	0.041389047127803	Real period
R	12.641936134607	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	28560cj4 114240ck4 21420w4 35700a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7140j4

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

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Quadratic twists for elliptic curve 7140j4

-4	8	-3	5	-7	17
28560cj4	114240ck4	21420w4	35700a4	49980j4	121380m4

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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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