Cremona's table of elliptic curves

4895 = 5 · 11 · 89

Field	Data	Notes
Atkin-Lehner	5+ 11- 89+	Signs for the Atkin-Lehner involutions
Class	4895b	Isogeny class
Conductor	4895	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	14496420125 = 53 · 114 · 892	Discriminant
Eigenvalues	-1  2 5+  2 11-  0 -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-891,-8812]	[a1,a2,a3,a4,a6]
j	78232514242609/14496420125	j-invariant
L	1.7700255094136	L(r)(E,1)/r!
Ω	0.88501275470678	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	78320u2 44055j2 24475c2 53845a2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4895b2

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	2	+	2	-	0	-2	8	-6	2	4	4	6	10	-4	-10	12	-6	4	0	-2	16	-6	+	-2

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Quadratic twists for elliptic curve 4895b2

-4	-3	5	-11
78320u2	44055j2	24475c2	53845a2

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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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