Cremona's table of elliptic curves

40656 = 2⁴ · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	40656k	Isogeny class
Conductor	40656	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	70567958828860416 = 210 · 38 · 72 · 118	Discriminant
Eigenvalues	2+ 3+  2 7+ 11- -6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-289472,-58470960]	[a1,a2,a3,a4,a6]
j	1478729816932/38900169	j-invariant
L	0.82462211014145	L(r)(E,1)/r!
Ω	0.20615552755613	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	20328l2 121968bn2 3696d2	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 40656k2

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	+	-	-6	-6	0	8	2	-4	-2	2	-12	-12	6	-4	-6	-4	0	2	8	0	-6	18

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Quadratic twists for elliptic curve 40656k2

-4	-3	-11
20328l2	121968bn2	3696d2

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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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