Cremona's table of elliptic curves

22704 = 2⁴ · 3 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 43-	Signs for the Atkin-Lehner involutions
Class	22704bd	Isogeny class
Conductor	22704	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	2391398882114863104 = 216 · 36 · 114 · 434	Discriminant
Eigenvalues	2- 3+ -2  0 11- -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1069904,419765184]	[a1,a2,a3,a4,a6]
j	33067289963089830097/583837617703824	j-invariant
L	0.51706416936546	L(r)(E,1)/r!
Ω	0.25853208468271	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	2838e3 90816cf4 68112bu4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 22704bd4

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	0	-	-2	-6	4	0	-2	0	-10	2	-	-8	6	-4	-2	-4	8	-6	8	4	2	2

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Quadratic twists for elliptic curve 22704bd4

-4	8	-3
2838e3	90816cf4	68112bu4

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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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