Cremona's table of elliptic curves

840 = 2³ · 3 · 5 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	840d	Isogeny class
Conductor	840	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	520931250000 = 24 · 35 · 58 · 73	Discriminant
Eigenvalues	2+ 3- 5+ 7+  0  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-27991,-1811530]	[a1,a2,a3,a4,a6]
j	151591373397612544/32558203125	j-invariant
L	1.8455221408688	L(r)(E,1)/r!
Ω	0.36910442817376	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	1680b1 6720i1 2520q1 4200r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 840d1

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

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Quadratic twists for elliptic curve 840d1

-4	8	-3	5	-7	-11
1680b1	6720i1	2520q1	4200r1	5880h1	101640co1

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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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