Cremona's table of elliptic curves

5830 = 2 · 5 · 11 · 53

Field	Data	Notes
Atkin-Lehner	2+ 5- 11+ 53+	Signs for the Atkin-Lehner involutions
Class	5830b	Isogeny class
Conductor	5830	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-63409691840 = -1 · 26 · 5 · 113 · 533	Discriminant
Eigenvalues	2+  1 5- -1 11+  5  6 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-303,12258]	[a1,a2,a3,a4,a6]
j	-3061889942761/63409691840	j-invariant
L	1.8578156733699	L(r)(E,1)/r!
Ω	0.92890783668494	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	46640v2 52470ba2 29150m2 64130q2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5830b2

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
+	1	-	-1	+	5	6	-1	-3	6	8	2	6	-4	0	+	-3	-7	5	-6	-10	8	-6	15	2

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Quadratic twists for elliptic curve 5830b2

-4	-3	5	-11
46640v2	52470ba2	29150m2	64130q2

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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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