Cremona's table of elliptic curves

4930 = 2 · 5 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 17- 29+	Signs for the Atkin-Lehner involutions
Class	4930f	Isogeny class
Conductor	4930	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	96884360 = 23 · 5 · 174 · 29	Discriminant
Eigenvalues	2-  0 5+  0  4 -6 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-6193,-186023]	[a1,a2,a3,a4,a6]
Generators	[605:14436:1]	Generators of the group modulo torsion
j	26264020381329249/96884360	j-invariant
L	5.1374024420505	L(r)(E,1)/r!
Ω	0.53818285666387	Real period
R	3.1819435708132	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	39440e4 44370n4 24650a4 83810bd4	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4930f3

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

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Quadratic twists for elliptic curve 4930f3

-4	-3	5	17
39440e4	44370n4	24650a4	83810bd4

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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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