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	4830a	Isogeny class
Conductor	4830	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-193397385415972500 = -1 · 22 · 35 · 54 · 712 · 23	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  0 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,57957,20489697]	[a1,a2,a3,a4,a6]
Generators	[-49:4212:1]	Generators of the group modulo torsion
j	21529289381199961031/193397385415972500	j-invariant
L	2.078826112169	L(r)(E,1)/r!
Ω	0.23329840312737	Real period
R	4.4552943447153	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	38640cr3 14490bw4 24150cl3 33810bk3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830a4

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

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Quadratic twists for elliptic curve 4830a4

-4	-3	5	-7	-23
38640cr3	14490bw4	24150cl3	33810bk3	111090n3

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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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