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	1410h	Isogeny class
Conductor	1410	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1988100 = 22 · 32 · 52 · 472	Discriminant
Eigenvalues	2- 3+ 5+  4 -4  2  2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-36,33]	[a1,a2,a3,a4,a6]
j	5168743489/1988100	j-invariant
L	2.3899291194028	L(r)(E,1)/r!
Ω	2.3899291194028	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	11280w2 45120bi2 4230n2 7050k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1410h2

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

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Quadratic twists for elliptic curve 1410h2

-4	8	-3	5	-7	-47
11280w2	45120bi2	4230n2	7050k2	69090ce2	66270u2

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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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