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
Δ	-314802028800 = -1 · 28 · 310 · 52 · 72 · 17	Discriminant
Eigenvalues	2- 3- 5- 7+  0 -6 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1700,1700]	[a1,a2,a3,a4,a6]
Generators	[20:210:1]	Generators of the group modulo torsion
j	2121167764784/1229695425	j-invariant
L	4.970170507936	L(r)(E,1)/r!
Ω	0.58064757968421	Real period
R	0.285323414858	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	28560da2 114240j2 21420i2 35700k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7140m2

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 7140m2

-4	8	-3	5	-7	17
28560da2	114240j2	21420i2	35700k2	49980b2	121380g2

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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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