Cremona's table of elliptic curves

5890 = 2 · 5 · 19 · 31

Field	Data	Notes
Atkin-Lehner	2+ 5+ 19- 31+	Signs for the Atkin-Lehner involutions
Class	5890a	Isogeny class
Conductor	5890	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	56448	Modular degree for the optimal curve
Δ	-34837135360000000 = -1 · 221 · 57 · 193 · 31	Discriminant
Eigenvalues	2+  2 5+ -3 -4 -3 -1 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-32588,9247568]	[a1,a2,a3,a4,a6]
j	-3827521668636130249/34837135360000000	j-invariant
L	0.94188605914401	L(r)(E,1)/r!
Ω	0.31396201971467	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	47120k1 53010bt1 29450o1 111910k1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 5890a1

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	+	-3	-4	-3	-1	-	2	-4	+	1	6	8	3	2	-4	6	-11	15	3	-10	9	-6	1

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Quadratic twists for elliptic curve 5890a1

-4	-3	5	-19
47120k1	53010bt1	29450o1	111910k1

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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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