Cremona's table of elliptic curves

1410 = 2 · 3 · 5 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 47+	Signs for the Atkin-Lehner involutions
Class	1410g	Isogeny class
Conductor	1410	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	2016	Modular degree for the optimal curve
Δ	-8686141440 = -1 · 218 · 3 · 5 · 472	Discriminant
Eigenvalues	2- 3+ 5+  2  2 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-8021,-279877]	[a1,a2,a3,a4,a6]
j	-57070627168555729/8686141440	j-invariant
L	2.2701298107907	L(r)(E,1)/r!
Ω	0.25223664564341	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	11280u1 45120bh1 4230m1 7050j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1410g1

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	-2	-2	0	8	6	0	8	-12	10	+	2	-4	10	-2	-2	16	8	4	14	-2

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Quadratic twists for elliptic curve 1410g1

-4	8	-3	5	-7	-47
11280u1	45120bh1	4230m1	7050j1	69090cb1	66270r1

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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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