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	7140c	Isogeny class
Conductor	7140	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-68125874745600 = -1 · 28 · 32 · 52 · 72 · 176	Discriminant
Eigenvalues	2- 3+ 5+ 7+  2 -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5836,-430664]	[a1,a2,a3,a4,a6]
Generators	[118:714:1]	Generators of the group modulo torsion
j	-85882368051664/266116698225	j-invariant
L	3.1621596406887	L(r)(E,1)/r!
Ω	0.25209963043885	Real period
R	0.34842481777543	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	28560dn2 114240eh2 21420t2 35700bf2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7140c2

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

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Quadratic twists for elliptic curve 7140c2

-4	8	-3	5	-7	17
28560dn2	114240eh2	21420t2	35700bf2	49980bb2	121380bf2

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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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