Cremona's table of elliptic curves

11704 = 2³ · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 7+ 11- 19-	Signs for the Atkin-Lehner involutions
Class	11704f	Isogeny class
Conductor	11704	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	8703391026176 = 210 · 72 · 113 · 194	Discriminant
Eigenvalues	2-  2  2 7+ 11-  4  4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-27552,-1745380]	[a1,a2,a3,a4,a6]
j	2258909892989572/8499405299	j-invariant
L	4.4477409433805	L(r)(E,1)/r!
Ω	0.37064507861504	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	23408d2 93632d2 105336n2 81928u2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11704f2

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

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Quadratic twists for elliptic curve 11704f2

-4	8	-3	-7	-11
23408d2	93632d2	105336n2	81928u2	128744e2

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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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