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	4830bi	Isogeny class
Conductor	4830	Conductor
∏ cp	1024	Product of Tamagawa factors cp
deg	49152	Modular degree for the optimal curve
Δ	27041817600000000 = 216 · 38 · 58 · 7 · 23	Discriminant
Eigenvalues	2- 3- 5- 7+  4  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-75340,-876400]	[a1,a2,a3,a4,a6]
j	47293441677949844161/27041817600000000	j-invariant
L	4.9953756286146	L(r)(E,1)/r!
Ω	0.31221097678842	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	38640cg1 14490m1 24150p1 33810cc1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830bi1

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
-	-	-	+	4	6	2	4	+	-2	-8	-2	-6	-4	0	-2	4	-2	4	8	-14	-8	-12	-6	2

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Quadratic twists for elliptic curve 4830bi1

-4	-3	5	-7	-23
38640cg1	14490m1	24150p1	33810cc1	111090da1

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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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