Cremona's table of elliptic curves

4807 = 11 · 19 · 23

Field	Data	Notes
Atkin-Lehner	11+ 19+ 23-	Signs for the Atkin-Lehner involutions
Class	4807a	Isogeny class
Conductor	4807	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1004663 = 112 · 192 · 23	Discriminant
Eigenvalues	-1  2  2 -4 11+  2 -4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-127,-602]	[a1,a2,a3,a4,a6]
j	226646274673/1004663	j-invariant
L	1.4224815674289	L(r)(E,1)/r!
Ω	1.4224815674289	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	76912k2 43263d2 120175a2 52877d2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4807a2

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

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Quadratic twists for elliptic curve 4807a2

-4	-3	5	-11	-19	-23
76912k2	43263d2	120175a2	52877d2	91333a2	110561d2

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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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