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	4830ba	Isogeny class
Conductor	4830	Conductor
∏ cp	384	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	-757170892800 = -1 · 212 · 38 · 52 · 72 · 23	Discriminant
Eigenvalues	2- 3- 5+ 7+  0 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1141,44321]	[a1,a2,a3,a4,a6]
Generators	[-34:227:1]	Generators of the group modulo torsion
j	-164287467238609/757170892800	j-invariant
L	5.950599432883	L(r)(E,1)/r!
Ω	0.78114409035796	Real period
R	0.31740833233875	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	38640br1 14490v1 24150m1 33810ch1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830ba1

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

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Quadratic twists for elliptic curve 4830ba1

-4	-3	5	-7	-23
38640br1	14490v1	24150m1	33810ch1	111090dm1

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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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