Cremona's table of elliptic curves

3610 = 2 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 5+ 19+	Signs for the Atkin-Lehner involutions
Class	3610f	Isogeny class
Conductor	3610	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	4788	Modular degree for the optimal curve
Δ	-169835630410 = -1 · 2 · 5 · 198	Discriminant
Eigenvalues	2-  0 5+  1  5  2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-7288,242101]	[a1,a2,a3,a4,a6]
j	-2520369/10	j-invariant
L	3.068459302035	L(r)(E,1)/r!
Ω	1.022819767345	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28880o1 115520r1 32490n1 18050a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3610f1

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	+	1	5	2	0	+	1	6	4	-11	-9	6	0	5	0	0	12	6	14	10	14	-7	-2

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Quadratic twists for elliptic curve 3610f1

-4	8	-3	5	-19
28880o1	115520r1	32490n1	18050a1	3610b1

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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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