Cremona's table of elliptic curves

4774 = 2 · 7 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2+ 7- 11- 31-	Signs for the Atkin-Lehner involutions
Class	4774d	Isogeny class
Conductor	4774	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	6048	Modular degree for the optimal curve
Δ	-48181805056 = -1 · 218 · 72 · 112 · 31	Discriminant
Eigenvalues	2+  2 -2 7- 11-  6  4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1116,17360]	[a1,a2,a3,a4,a6]
j	-153930331718857/48181805056	j-invariant
L	2.1388618010482	L(r)(E,1)/r!
Ω	1.0694309005241	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	38192l1 42966bh1 119350bo1 33418q1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4774d1

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	-2	-	-	6	4	0	6	4	-	-8	-2	4	0	12	-4	-14	-4	-8	16	-10	14	4	-2

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Quadratic twists for elliptic curve 4774d1

-4	-3	5	-7	-11
38192l1	42966bh1	119350bo1	33418q1	52514t1

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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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