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	-60118885000 = -1 · 23 · 54 · 17 · 294	Discriminant
Eigenvalues	2-  0 5+  0  4 -6 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,287,-11719]	[a1,a2,a3,a4,a6]
Generators	[21:46:1]	Generators of the group modulo torsion
j	2622933472671/60118885000	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	39440e3 44370n3 24650a3 83810bd3	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4930f4

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 4930f4

-4	-3	5	17
39440e3	44370n3	24650a3	83810bd3

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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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