Cremona's table of elliptic curves

4620 = 2² · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 11+	Signs for the Atkin-Lehner involutions
Class	4620n	Isogeny class
Conductor	4620	Conductor
∏ cp	27	Product of Tamagawa factors cp
Δ	-1856240095691520 = -1 · 28 · 33 · 5 · 79 · 113	Discriminant
Eigenvalues	2- 3- 5- 7- 11+ -4  3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,19355,-1788745]	[a1,a2,a3,a4,a6]
Generators	[98:1029:1]	Generators of the group modulo torsion
j	3132137615458304/7250937873795	j-invariant
L	4.6891583349261	L(r)(E,1)/r!
Ω	0.24290770445507	Real period
R	0.71497333241363	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18480ce2 73920s2 13860r2 23100c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4620n2

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	3	-7	-9	-3	2	-4	-6	-1	-6	3	-9	-1	-10	6	8	-4	3	-15	-1

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Quadratic twists for elliptic curve 4620n2

-4	8	-3	5	-7	-11
18480ce2	73920s2	13860r2	23100c2	32340b2	50820u2

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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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