Cremona's table of elliptic curves

1540 = 2² · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11+	Signs for the Atkin-Lehner involutions
Class	1540b	Isogeny class
Conductor	1540	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	169030400 = 28 · 52 · 74 · 11	Discriminant
Eigenvalues	2-  2 5- 7- 11+  4  8 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-140,-88]	[a1,a2,a3,a4,a6]
j	1193895376/660275	j-invariant
L	2.9708612498124	L(r)(E,1)/r!
Ω	1.4854306249062	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6160m2 24640r2 13860q2 7700b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1540b2

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	-	-	+	4	8	-4	2	-6	-4	10	2	4	2	2	0	-2	14	-4	-16	-8	-4	-2	-2

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Quadratic twists for elliptic curve 1540b2

-4	8	-3	5	-7	-11
6160m2	24640r2	13860q2	7700b2	10780g2	16940e2

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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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