Cremona's table of elliptic curves

4920 = 2³ · 3 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 41+	Signs for the Atkin-Lehner involutions
Class	4920g	Isogeny class
Conductor	4920	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-114349097088000 = -1 · 210 · 312 · 53 · 412	Discriminant
Eigenvalues	2- 3- 5+  4 -6  0 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7296,-570096]	[a1,a2,a3,a4,a6]
Generators	[192:2268:1]	Generators of the group modulo torsion
j	-41950559273476/111669040125	j-invariant
L	4.5029377050038	L(r)(E,1)/r!
Ω	0.23995712827641	Real period
R	1.5637993813548	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	9840b2 39360n2 14760i2 24600e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4920g2

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

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Quadratic twists for elliptic curve 4920g2

-4	8	-3	5
9840b2	39360n2	14760i2	24600e2

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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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