Cremona's table of elliptic curves

4840 = 2³ · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	4840b	Isogeny class
Conductor	4840	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	34073600 = 210 · 52 · 113	Discriminant
Eigenvalues	2+ -2 5+  0 11+  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-216,1120]	[a1,a2,a3,a4,a6]
Generators	[-4:44:1]	Generators of the group modulo torsion
j	821516/25	j-invariant
L	2.3750148746052	L(r)(E,1)/r!
Ω	2.0597606405731	Real period
R	0.57652690992882	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9680c2 38720ba2 43560cd2 24200u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4840b2

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

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Quadratic twists for elliptic curve 4840b2

-4	8	-3	5	-11
9680c2	38720ba2	43560cd2	24200u2	4840e2

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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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