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	4830h	Isogeny class
Conductor	4830	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	72000	Modular degree for the optimal curve
Δ	918925030195200000 = 230 · 35 · 55 · 72 · 23	Discriminant
Eigenvalues	2+ 3- 5+ 7+  0 -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-287409,37259332]	[a1,a2,a3,a4,a6]
j	2625564132023811051529/918925030195200000	j-invariant
L	1.2838354358045	L(r)(E,1)/r!
Ω	0.2567670871609	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	38640bq1 14490bv1 24150bu1 33810p1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830h1

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

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Quadratic twists for elliptic curve 4830h1

-4	-3	5	-7	-23
38640bq1	14490bv1	24150bu1	33810p1	111090bg1

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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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