Cremona's table of elliptic curves

10404 = 2² · 3² · 17²

Field	Data	Notes
Atkin-Lehner	2- 3+ 17+	Signs for the Atkin-Lehner involutions
Class	10404b	Isogeny class
Conductor	10404	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	166838876928 = 28 · 33 · 176	Discriminant
Eigenvalues	2- 3+  0  4  0  2 17+  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4335,108086]	[a1,a2,a3,a4,a6]
j	54000	j-invariant
L	3.0607120199688	L(r)(E,1)/r!
Ω	1.0202373399896	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	41616bk2 10404b4 36a2	Quadratic twists by: -4 -3 17

Hecke Eigenvalues for elliptic curve 10404b2

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

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Quadratic twists for elliptic curve 10404b2

-4	-3	17
41616bk2	10404b4	36a2

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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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