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	4830bl	Isogeny class
Conductor	4830	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	608580 = 22 · 33 · 5 · 72 · 23	Discriminant
Eigenvalues	2- 3- 5- 7-  4  2  4 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-60,-180]	[a1,a2,a3,a4,a6]
j	23912763841/608580	j-invariant
L	5.1537034122469	L(r)(E,1)/r!
Ω	1.7179011374156	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	38640bw1 14490p1 24150b1 33810cg1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830bl1

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	2	4	-4	-	-8	8	-2	4	-8	0	-4	-8	-2	16	-4	0	-4	-12	6	-14

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Quadratic twists for elliptic curve 4830bl1

-4	-3	5	-7	-23
38640bw1	14490p1	24150b1	33810cg1	111090co1

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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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