Cremona's table of elliptic curves

105280 = 2⁶ · 5 · 7 · 47

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 47+	Signs for the Atkin-Lehner involutions
Class	105280b	Isogeny class
Conductor	105280	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	387072	Modular degree for the optimal curve
Δ	-247282742067200 = -1 · 232 · 52 · 72 · 47	Discriminant
Eigenvalues	2+  0 5+ 7+ -4  6  6  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-17548,-1171728]	[a1,a2,a3,a4,a6]
Generators	[39567:1508185:27]	Generators of the group modulo torsion
j	-2279642092281/943308800	j-invariant
L	6.3120678724409	L(r)(E,1)/r!
Ω	0.20327697879352	Real period
R	7.7628907321188	Regulator
r	1	Rank of the group of rational points
S	0.99999999580544	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	105280x1 3290c1	Quadratic twists by: -4 8

Hecke Eigenvalues for elliptic curve 105280b1

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	6	6	6	6	0	0	2	0	8	+	-6	-12	-14	8	8	16	0	-4	-2	-18

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Quadratic twists for elliptic curve 105280b1

-4	8
105280x1	3290c1

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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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