Cremona's table of elliptic curves

4830 = 2 · 3 · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7- 23-	Signs for the Atkin-Lehner involutions
Class	4830d	Isogeny class
Conductor	4830	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-53323200 = -1 · 26 · 32 · 52 · 7 · 232	Discriminant
Eigenvalues	2+ 3+ 5+ 7-  0  0  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-28,-368]	[a1,a2,a3,a4,a6]
Generators	[16:52:1]	Generators of the group modulo torsion
j	-2565726409/53323200	j-invariant
L	2.3030838713414	L(r)(E,1)/r!
Ω	0.86052649566791	Real period
R	0.66909150471708	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38640ci1 14490bz1 24150cc1 33810bq1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830d1

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

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Quadratic twists for elliptic curve 4830d1

-4	-3	5	-7	-23
38640ci1	14490bz1	24150cc1	33810bq1	111090h1

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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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