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	1410c	Isogeny class
Conductor	1410	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	670983750 = 2 · 35 · 54 · 472	Discriminant
Eigenvalues	2+ 3+ 5-  4 -2  0  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2567,-51129]	[a1,a2,a3,a4,a6]
j	1871826712886521/670983750	j-invariant
L	1.3414064774706	L(r)(E,1)/r!
Ω	0.67070323873529	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	11280bd2 45120x2 4230bd2 7050bh2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1410c2

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

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Quadratic twists for elliptic curve 1410c2

-4	8	-3	5	-7	-47
11280bd2	45120x2	4230bd2	7050bh2	69090t2	66270c2

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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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