Cremona's table of elliptic curves

5610 = 2 · 3 · 5 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	5610bb	Isogeny class
Conductor	5610	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	1967006250000 = 24 · 32 · 58 · 112 · 172	Discriminant
Eigenvalues	2- 3+ 5-  0 11+  6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-7390,231947]	[a1,a2,a3,a4,a6]
j	44633474953947361/1967006250000	j-invariant
L	3.2856807483179	L(r)(E,1)/r!
Ω	0.82142018707948	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	44880cy2 16830t2 28050y2 61710o2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610bb2

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

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Quadratic twists for elliptic curve 5610bb2

-4	-3	5	-11	17
44880cy2	16830t2	28050y2	61710o2	95370db2

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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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