Cremona's table of elliptic curves

104907 = 3 · 11² · 17²

Field	Data	Notes
Atkin-Lehner	3- 11- 17+	Signs for the Atkin-Lehner involutions
Class	104907bi	Isogeny class
Conductor	104907	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	1951488	Modular degree for the optimal curve
Δ	-139700761584307803 = -1 · 33 · 118 · 176	Discriminant
Eigenvalues	-2 3- -4 -1 11- -2 17+ -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,128220,-3287410]	[a1,a2,a3,a4,a6]
Generators	[1371:52453:1]	Generators of the group modulo torsion
j	45056/27	j-invariant
L	2.019269343409	L(r)(E,1)/r!
Ω	0.19067509965875	Real period
R	0.58833918499641	Regulator
r	1	Rank of the group of rational points
S	0.99999997733185	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	104907bg1 363c1	Quadratic twists by: -11 17

Hecke Eigenvalues for elliptic curve 104907bi1

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	-	-4	-1	-	-2	+	-3	-2	-6	5	-3	2	12	2	6	-10	-3	-1	0	11	-11	6	12	-5

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Quadratic twists for elliptic curve 104907bi1

-11	17
104907bg1	363c1

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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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