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	4935i	Isogeny class
Conductor	4935	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	35952315800625 = 312 · 54 · 72 · 472	Discriminant
Eigenvalues	-1 3- 5- 7+ -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-8330,-49773]	[a1,a2,a3,a4,a6]
Generators	[-86:223:1]	Generators of the group modulo torsion
j	63923710333180321/35952315800625	j-invariant
L	2.8438067654147	L(r)(E,1)/r!
Ω	0.53774214899178	Real period
R	1.7628069331163	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	78960ci2 14805e2 24675k2 34545f2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4935i2

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	-	-	+	-4	-2	2	-4	0	6	8	6	-6	4	+	-10	4	-2	-4	0	-6	-16	4	2	-6

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Quadratic twists for elliptic curve 4935i2

-4	-3	5	-7
78960ci2	14805e2	24675k2	34545f2

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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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