Cremona's table of elliptic curves

10904 = 2³ · 29 · 47

Field	Data	Notes
Atkin-Lehner	2+ 29- 47+	Signs for the Atkin-Lehner involutions
Class	10904a	Isogeny class
Conductor	10904	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1120	Modular degree for the optimal curve
Δ	-348928 = -1 · 28 · 29 · 47	Discriminant
Eigenvalues	2+  2  0  1  3  0  8  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,12,20]	[a1,a2,a3,a4,a6]
j	686000/1363	j-invariant
L	4.1869446615088	L(r)(E,1)/r!
Ω	2.0934723307544	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	21808b1 87232b1 98136f1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 10904a1

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	1	3	0	8	0	8	-	5	-2	11	5	+	11	-11	-8	-4	-9	-11	-6	1	16	-6

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Quadratic twists for elliptic curve 10904a1

-4	8	-3
21808b1	87232b1	98136f1

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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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