Cremona's table of elliptic curves

4935 = 3 · 5 · 7 · 47

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7+ 47-	Signs for the Atkin-Lehner involutions
Class	4935a	Isogeny class
Conductor	4935	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	19064837421984375 = 36 · 56 · 73 · 474	Discriminant
Eigenvalues	-1 3+ 5+ 7+  0 -6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-20837250046,1157725133284004]	[a1,a2,a3,a4,a6]
j	1000564112668136672866483150863215329/19064837421984375	j-invariant
L	0.090809742674382	L(r)(E,1)/r!
Ω	0.090809742674382	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	78960cn4 14805g3 24675q4 34545t4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4935a3

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
-1	+	+	+	0	-6	-6	-4	4	-10	0	6	-2	0	-	-10	-12	-10	16	0	-10	-16	4	2	-6

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Quadratic twists for elliptic curve 4935a3

-4	-3	5	-7
78960cn4	14805g3	24675q4	34545t4

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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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